Pranić, Miroslav

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Authority KeyName Variants
74c11d56-e61b-4f5e-b484-ea1c3f938ce9
  • Pranić, Miroslav (8)
  • Pranić, Miroslav S. (5)
Projects

Author's Bibliography

MS FT-2-2 7 Orthogonal polynomials and quadrature: Theory, computation, and applications

Pranić, Miroslav; Reichel, Lothar; Spalević, Miodrag

(2019)

TY  - CONF
AU  - Pranić, Miroslav
AU  - Reichel, Lothar
AU  - Spalević, Miodrag
PY  - 2019
UR  - https://iciam2019.com/images/site/news/ICIAM2019_PROGRAM_ABSTRACTS_BOOK.pdf
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/5252
AB  - Quadrature rules find many applications in science and engineering. Their analysis is a classical area of applied mathematics and continues to attract considerable attention. This seminar brings together speakers with expertise in a large variety of quadrature rules. It is the aim of the seminar to provide an overview of recent developments in the analysis of quadrature rules. The computation of error estimates and novel applications also are described.
T1  - MS FT-2-2 7  Orthogonal polynomials and quadrature: Theory, computation, and applications
UR  - https://hdl.handle.net/21.15107/rcub_machinery_5252
ER  - 
@conference{
author = "Pranić, Miroslav and Reichel, Lothar and Spalević, Miodrag",
year = "2019",
abstract = "Quadrature rules find many applications in science and engineering. Their analysis is a classical area of applied mathematics and continues to attract considerable attention. This seminar brings together speakers with expertise in a large variety of quadrature rules. It is the aim of the seminar to provide an overview of recent developments in the analysis of quadrature rules. The computation of error estimates and novel applications also are described.",
title = "MS FT-2-2 7  Orthogonal polynomials and quadrature: Theory, computation, and applications",
url = "https://hdl.handle.net/21.15107/rcub_machinery_5252"
}
Pranić, M., Reichel, L.,& Spalević, M.. (2019). MS FT-2-2 7  Orthogonal polynomials and quadrature: Theory, computation, and applications. .
https://hdl.handle.net/21.15107/rcub_machinery_5252
Pranić M, Reichel L, Spalević M. MS FT-2-2 7  Orthogonal polynomials and quadrature: Theory, computation, and applications. 2019;.
https://hdl.handle.net/21.15107/rcub_machinery_5252 .
Pranić, Miroslav, Reichel, Lothar, Spalević, Miodrag, "MS FT-2-2 7  Orthogonal polynomials and quadrature: Theory, computation, and applications" (2019),
https://hdl.handle.net/21.15107/rcub_machinery_5252 .

Quadrature with multiple nodes, power orthogonality, and moment-preserving spline approximation, part ii

Milovanović, Gradimir V.; Pranić, Miroslav S.; Spalević, Miodrag

(Univerzitet u Beogradu - Elektrotehnički fakultet, Beograd i Akademska misao, Beograd, 2019)

TY  - JOUR
AU  - Milovanović, Gradimir V.
AU  - Pranić, Miroslav S.
AU  - Spalević, Miodrag
PY  - 2019
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3083
AB  - The paper deals with new contributions to the theory of the Gauss quadrature formulas with multiple nodes that are published after 2001, including numerical construction, error analysis and applications. The first part was published in Numerical analysis 2000, Vol. V, Quadrature and orthogonal polynomials (W. Gautschi, F. Marcellan, and L. Reichel, eds.) [J. Comput. Appl. Math. 127 (2001), no. 1-2, 267-286].
PB  - Univerzitet u Beogradu - Elektrotehnički fakultet, Beograd i Akademska misao, Beograd
T2  - Applicable Analysis and Discrete Mathematics
T1  - Quadrature with multiple nodes, power orthogonality, and moment-preserving spline approximation, part ii
EP  - 27
IS  - 1
SP  - 1
VL  - 13
DO  - 10.2298/AADM180730018M
ER  - 
@article{
author = "Milovanović, Gradimir V. and Pranić, Miroslav S. and Spalević, Miodrag",
year = "2019",
abstract = "The paper deals with new contributions to the theory of the Gauss quadrature formulas with multiple nodes that are published after 2001, including numerical construction, error analysis and applications. The first part was published in Numerical analysis 2000, Vol. V, Quadrature and orthogonal polynomials (W. Gautschi, F. Marcellan, and L. Reichel, eds.) [J. Comput. Appl. Math. 127 (2001), no. 1-2, 267-286].",
publisher = "Univerzitet u Beogradu - Elektrotehnički fakultet, Beograd i Akademska misao, Beograd",
journal = "Applicable Analysis and Discrete Mathematics",
title = "Quadrature with multiple nodes, power orthogonality, and moment-preserving spline approximation, part ii",
pages = "27-1",
number = "1",
volume = "13",
doi = "10.2298/AADM180730018M"
}
Milovanović, G. V., Pranić, M. S.,& Spalević, M.. (2019). Quadrature with multiple nodes, power orthogonality, and moment-preserving spline approximation, part ii. in Applicable Analysis and Discrete Mathematics
Univerzitet u Beogradu - Elektrotehnički fakultet, Beograd i Akademska misao, Beograd., 13(1), 1-27.
https://doi.org/10.2298/AADM180730018M
Milovanović GV, Pranić MS, Spalević M. Quadrature with multiple nodes, power orthogonality, and moment-preserving spline approximation, part ii. in Applicable Analysis and Discrete Mathematics. 2019;13(1):1-27.
doi:10.2298/AADM180730018M .
Milovanović, Gradimir V., Pranić, Miroslav S., Spalević, Miodrag, "Quadrature with multiple nodes, power orthogonality, and moment-preserving spline approximation, part ii" in Applicable Analysis and Discrete Mathematics, 13, no. 1 (2019):1-27,
https://doi.org/10.2298/AADM180730018M . .
2
4

Maximum of the modulus of kernels of Gaussian quadrature formulae for one class of Bernstein-Szego weight functions

Spalević, Miodrag; Pranić, Miroslav S.; Pejčev, Aleksandar

(Elsevier Science Inc, New York, 2012)

TY  - JOUR
AU  - Spalević, Miodrag
AU  - Pranić, Miroslav S.
AU  - Pejčev, Aleksandar
PY  - 2012
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/1388
AB  - We continue with the study of the kernels K-n(z) in the remainder terms R-n(f) of the Gaussian quadrature formulae for analytic functions f inside elliptical contours with foci at -/+ 1 and a sum of semi-axes rho > 1. The weight function w of Bernstein-Szego type here is w(t) equivalent to w(gamma)((-1/2))(t) = 1/root 1 - t(2) . (1 - 4 gamma/(1 + gamma)(2)t(2))(-1), t is an element of (-1, 1), gamma is an element of (-1, 0). Sufficient conditions are found ensuring that the kernel attains its maximum absolute value at the intersection point of the contour with either the real or the imaginary axis. This leads to effective error bounds of the corresponding Gauss quadratures. The quality of the derived bounds is demonstrated by a comparison with other error bounds intended for the same class of integrands.
PB  - Elsevier Science Inc, New York
T2  - Applied Mathematics and Computation
T1  - Maximum of the modulus of kernels of Gaussian quadrature formulae for one class of Bernstein-Szego weight functions
EP  - 5756
IS  - 9
SP  - 5746
VL  - 218
DO  - 10.1016/j.amc.2011.11.072
ER  - 
@article{
author = "Spalević, Miodrag and Pranić, Miroslav S. and Pejčev, Aleksandar",
year = "2012",
abstract = "We continue with the study of the kernels K-n(z) in the remainder terms R-n(f) of the Gaussian quadrature formulae for analytic functions f inside elliptical contours with foci at -/+ 1 and a sum of semi-axes rho > 1. The weight function w of Bernstein-Szego type here is w(t) equivalent to w(gamma)((-1/2))(t) = 1/root 1 - t(2) . (1 - 4 gamma/(1 + gamma)(2)t(2))(-1), t is an element of (-1, 1), gamma is an element of (-1, 0). Sufficient conditions are found ensuring that the kernel attains its maximum absolute value at the intersection point of the contour with either the real or the imaginary axis. This leads to effective error bounds of the corresponding Gauss quadratures. The quality of the derived bounds is demonstrated by a comparison with other error bounds intended for the same class of integrands.",
publisher = "Elsevier Science Inc, New York",
journal = "Applied Mathematics and Computation",
title = "Maximum of the modulus of kernels of Gaussian quadrature formulae for one class of Bernstein-Szego weight functions",
pages = "5756-5746",
number = "9",
volume = "218",
doi = "10.1016/j.amc.2011.11.072"
}
Spalević, M., Pranić, M. S.,& Pejčev, A.. (2012). Maximum of the modulus of kernels of Gaussian quadrature formulae for one class of Bernstein-Szego weight functions. in Applied Mathematics and Computation
Elsevier Science Inc, New York., 218(9), 5746-5756.
https://doi.org/10.1016/j.amc.2011.11.072
Spalević M, Pranić MS, Pejčev A. Maximum of the modulus of kernels of Gaussian quadrature formulae for one class of Bernstein-Szego weight functions. in Applied Mathematics and Computation. 2012;218(9):5746-5756.
doi:10.1016/j.amc.2011.11.072 .
Spalević, Miodrag, Pranić, Miroslav S., Pejčev, Aleksandar, "Maximum of the modulus of kernels of Gaussian quadrature formulae for one class of Bernstein-Szego weight functions" in Applied Mathematics and Computation, 218, no. 9 (2012):5746-5756,
https://doi.org/10.1016/j.amc.2011.11.072 . .
8
7
16

The Remainder Term of Gauss-Turan Quadratures for Analytic Functions

Spalević, Miodrag; Pranić, Miroslav S.

(Springer, New York, 2011)

TY  - CONF
AU  - Spalević, Miodrag
AU  - Pranić, Miroslav S.
PY  - 2011
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/1176
PB  - Springer, New York
C3  - Approximation and Computation: in Honor of Gradimir V. Milovanovic
T1  - The Remainder Term of Gauss-Turan Quadratures for Analytic Functions
EP  - +
SP  - 253
VL  - 42
DO  - 10.1007/978-1-4419-6594-3_16
ER  - 
@conference{
author = "Spalević, Miodrag and Pranić, Miroslav S.",
year = "2011",
publisher = "Springer, New York",
journal = "Approximation and Computation: in Honor of Gradimir V. Milovanovic",
title = "The Remainder Term of Gauss-Turan Quadratures for Analytic Functions",
pages = "+-253",
volume = "42",
doi = "10.1007/978-1-4419-6594-3_16"
}
Spalević, M.,& Pranić, M. S.. (2011). The Remainder Term of Gauss-Turan Quadratures for Analytic Functions. in Approximation and Computation: in Honor of Gradimir V. Milovanovic
Springer, New York., 42, 253-+.
https://doi.org/10.1007/978-1-4419-6594-3_16
Spalević M, Pranić MS. The Remainder Term of Gauss-Turan Quadratures for Analytic Functions. in Approximation and Computation: in Honor of Gradimir V. Milovanovic. 2011;42:253-+.
doi:10.1007/978-1-4419-6594-3_16 .
Spalević, Miodrag, Pranić, Miroslav S., "The Remainder Term of Gauss-Turan Quadratures for Analytic Functions" in Approximation and Computation: in Honor of Gradimir V. Milovanovic, 42 (2011):253-+,
https://doi.org/10.1007/978-1-4419-6594-3_16 . .
1
1
3

Error bounds of certain Gaussian quadrature formulae

Spalević, Miodrag; Pranić, Miroslav S.

(Elsevier Science Bv, Amsterdam, 2010)

TY  - JOUR
AU  - Spalević, Miodrag
AU  - Pranić, Miroslav S.
PY  - 2010
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/1075
AB  - We study the kernel of the remainder term of Gauss quadrature rules for analytic functions with respect to one class of Bernstein-Szego weight functions. The location on the elliptic contours where the modulus of the kernel attains its maximum value is investigated. This leads to effective error bounds of the corresponding Gauss quadratures.
PB  - Elsevier Science Bv, Amsterdam
T2  - Journal of Computational and Applied Mathematics
T1  - Error bounds of certain Gaussian quadrature formulae
EP  - 1057
IS  - 4
SP  - 1049
VL  - 234
DO  - 10.1016/j.cam.2009.04.004
ER  - 
@article{
author = "Spalević, Miodrag and Pranić, Miroslav S.",
year = "2010",
abstract = "We study the kernel of the remainder term of Gauss quadrature rules for analytic functions with respect to one class of Bernstein-Szego weight functions. The location on the elliptic contours where the modulus of the kernel attains its maximum value is investigated. This leads to effective error bounds of the corresponding Gauss quadratures.",
publisher = "Elsevier Science Bv, Amsterdam",
journal = "Journal of Computational and Applied Mathematics",
title = "Error bounds of certain Gaussian quadrature formulae",
pages = "1057-1049",
number = "4",
volume = "234",
doi = "10.1016/j.cam.2009.04.004"
}
Spalević, M.,& Pranić, M. S.. (2010). Error bounds of certain Gaussian quadrature formulae. in Journal of Computational and Applied Mathematics
Elsevier Science Bv, Amsterdam., 234(4), 1049-1057.
https://doi.org/10.1016/j.cam.2009.04.004
Spalević M, Pranić MS. Error bounds of certain Gaussian quadrature formulae. in Journal of Computational and Applied Mathematics. 2010;234(4):1049-1057.
doi:10.1016/j.cam.2009.04.004 .
Spalević, Miodrag, Pranić, Miroslav S., "Error bounds of certain Gaussian quadrature formulae" in Journal of Computational and Applied Mathematics, 234, no. 4 (2010):1049-1057,
https://doi.org/10.1016/j.cam.2009.04.004 . .
8
12
15

Error estimates for Gauss-Turan quadratures and their Kronrod extensions

Milovanović, Gradimir; Spalević, Miodrag; Pranić, Miroslav

(Oxford University Press, 2009)

TY  - JOUR
AU  - Milovanović, Gradimir
AU  - Spalević, Miodrag
AU  - Pranić, Miroslav
PY  - 2009
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/5089
PB  - Oxford University Press
T2  - IMA Journal on Numerical Analysis
T1  - Error estimates for Gauss-Turan quadratures and their Kronrod extensions
EP  - 507
IS  - 3
SP  - 486
VL  - 29
UR  - https://hdl.handle.net/21.15107/rcub_machinery_5089
ER  - 
@article{
author = "Milovanović, Gradimir and Spalević, Miodrag and Pranić, Miroslav",
year = "2009",
publisher = "Oxford University Press",
journal = "IMA Journal on Numerical Analysis",
title = "Error estimates for Gauss-Turan quadratures and their Kronrod extensions",
pages = "507-486",
number = "3",
volume = "29",
url = "https://hdl.handle.net/21.15107/rcub_machinery_5089"
}
Milovanović, G., Spalević, M.,& Pranić, M.. (2009). Error estimates for Gauss-Turan quadratures and their Kronrod extensions. in IMA Journal on Numerical Analysis
Oxford University Press., 29(3), 486-507.
https://hdl.handle.net/21.15107/rcub_machinery_5089
Milovanović G, Spalević M, Pranić M. Error estimates for Gauss-Turan quadratures and their Kronrod extensions. in IMA Journal on Numerical Analysis. 2009;29(3):486-507.
https://hdl.handle.net/21.15107/rcub_machinery_5089 .
Milovanović, Gradimir, Spalević, Miodrag, Pranić, Miroslav, "Error estimates for Gauss-Turan quadratures and their Kronrod extensions" in IMA Journal on Numerical Analysis, 29, no. 3 (2009):486-507,
https://hdl.handle.net/21.15107/rcub_machinery_5089 .

Error estimates for Gaussian quadratures of analytic functions

Milovanović, Gradimir V.; Spalević, Miodrag; Pranić, Miroslav S.

(Elsevier Science Bv, Amsterdam, 2009)

TY  - JOUR
AU  - Milovanović, Gradimir V.
AU  - Spalević, Miodrag
AU  - Pranić, Miroslav S.
PY  - 2009
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/969
AB  - For analytic functions the remainder term of Gaussian quadrature formula and its Kronrod extension can be represented as a contour integral with a complex kernel. We study these kernels on elliptic contours with foci at the points +/-1 and the sum of semi-axes Q > 1 for the Chebyshev weight functions of the first, second and third kind, and derive representation of their difference. Using this representation and following Kronrod's method of obtaining a practical error estimate in numerical integration, we derive new error estimates for Gaussian quadratures.
PB  - Elsevier Science Bv, Amsterdam
T2  - Journal of Computational and Applied Mathematics
T1  - Error estimates for Gaussian quadratures of analytic functions
EP  - 807
IS  - 3
SP  - 802
VL  - 233
DO  - 10.1016/j.cam.2009.02.048
ER  - 
@article{
author = "Milovanović, Gradimir V. and Spalević, Miodrag and Pranić, Miroslav S.",
year = "2009",
abstract = "For analytic functions the remainder term of Gaussian quadrature formula and its Kronrod extension can be represented as a contour integral with a complex kernel. We study these kernels on elliptic contours with foci at the points +/-1 and the sum of semi-axes Q > 1 for the Chebyshev weight functions of the first, second and third kind, and derive representation of their difference. Using this representation and following Kronrod's method of obtaining a practical error estimate in numerical integration, we derive new error estimates for Gaussian quadratures.",
publisher = "Elsevier Science Bv, Amsterdam",
journal = "Journal of Computational and Applied Mathematics",
title = "Error estimates for Gaussian quadratures of analytic functions",
pages = "807-802",
number = "3",
volume = "233",
doi = "10.1016/j.cam.2009.02.048"
}
Milovanović, G. V., Spalević, M.,& Pranić, M. S.. (2009). Error estimates for Gaussian quadratures of analytic functions. in Journal of Computational and Applied Mathematics
Elsevier Science Bv, Amsterdam., 233(3), 802-807.
https://doi.org/10.1016/j.cam.2009.02.048
Milovanović GV, Spalević M, Pranić MS. Error estimates for Gaussian quadratures of analytic functions. in Journal of Computational and Applied Mathematics. 2009;233(3):802-807.
doi:10.1016/j.cam.2009.02.048 .
Milovanović, Gradimir V., Spalević, Miodrag, Pranić, Miroslav S., "Error estimates for Gaussian quadratures of analytic functions" in Journal of Computational and Applied Mathematics, 233, no. 3 (2009):802-807,
https://doi.org/10.1016/j.cam.2009.02.048 . .
4
8
10

Maximum of the modulus of kernels in Gauss-Turan quadratures

Milovanović, Gradimir; Spalević, Miodrag; Pranić, Miroslav

(American Mathematical Society, 2008)

TY  - JOUR
AU  - Milovanović, Gradimir
AU  - Spalević, Miodrag
AU  - Pranić, Miroslav
PY  - 2008
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/5087
AB  - We study the kernels 
 in the remainder terms 
 of the Gauss-Turán quadrature formulae for analytic functions on elliptical contours with foci at , when the weight 
 is a generalized Chebyshev weight function. For the generalized Chebyshev weight of the first (third) kind, it is shown that the modulus of the kernel 
 attains its maximum on the real axis (positive real semi-axis) for each 
. It was stated as a conjecture in [Math. Comp. 72 (2003), 1855–1872]. For the generalized Chebyshev weight of the second kind, in the case when the number of the nodes 
 in the corresponding Gauss-Turán quadrature formula is even, it is shown that the modulus of the kernel attains its maximum on the imaginary axis for each 
. Numerical examples are included.
PB  - American Mathematical Society
T2  - Mathematics of Computation
T1  - Maximum of the modulus of kernels in Gauss-Turan quadratures
EP  - 994
IS  - 262
SP  - 985
VL  - 77
UR  - https://hdl.handle.net/21.15107/rcub_machinery_5087
ER  - 
@article{
author = "Milovanović, Gradimir and Spalević, Miodrag and Pranić, Miroslav",
year = "2008",
abstract = "We study the kernels 
 in the remainder terms 
 of the Gauss-Turán quadrature formulae for analytic functions on elliptical contours with foci at , when the weight 
 is a generalized Chebyshev weight function. For the generalized Chebyshev weight of the first (third) kind, it is shown that the modulus of the kernel 
 attains its maximum on the real axis (positive real semi-axis) for each 
. It was stated as a conjecture in [Math. Comp. 72 (2003), 1855–1872]. For the generalized Chebyshev weight of the second kind, in the case when the number of the nodes 
 in the corresponding Gauss-Turán quadrature formula is even, it is shown that the modulus of the kernel attains its maximum on the imaginary axis for each 
. Numerical examples are included.",
publisher = "American Mathematical Society",
journal = "Mathematics of Computation",
title = "Maximum of the modulus of kernels in Gauss-Turan quadratures",
pages = "994-985",
number = "262",
volume = "77",
url = "https://hdl.handle.net/21.15107/rcub_machinery_5087"
}
Milovanović, G., Spalević, M.,& Pranić, M.. (2008). Maximum of the modulus of kernels in Gauss-Turan quadratures. in Mathematics of Computation
American Mathematical Society., 77(262), 985-994.
https://hdl.handle.net/21.15107/rcub_machinery_5087
Milovanović G, Spalević M, Pranić M. Maximum of the modulus of kernels in Gauss-Turan quadratures. in Mathematics of Computation. 2008;77(262):985-994.
https://hdl.handle.net/21.15107/rcub_machinery_5087 .
Milovanović, Gradimir, Spalević, Miodrag, Pranić, Miroslav, "Maximum of the modulus of kernels in Gauss-Turan quadratures" in Mathematics of Computation, 77, no. 262 (2008):985-994,
https://hdl.handle.net/21.15107/rcub_machinery_5087 .

On the remainder term of Gauss-Radau quadratures for analytic functions

Milovanović, Gradimir; Spalević, Miodrag; Pranić, Miroslav

(Elsevier, 2008)

TY  - JOUR
AU  - Milovanović, Gradimir
AU  - Spalević, Miodrag
AU  - Pranić, Miroslav
PY  - 2008
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/5086
AB  - For analytic functions the remainder term of Gauss–Radau quadrature formulae can be represented as a contour integral with a complex kernel. We study the kernel on elliptic contours with foci at the points  and a sum of semi-axes  for the Chebyshev weight function of the second kind. Starting from explicit expressions of the corresponding kernels the location of their maximum modulus on ellipses is determined. The corresponding Gautschi's conjecture from [On the remainder term for analytic functions of Gauss–Lobatto and Gauss–Radau quadratures, Rocky Mountain J. Math. 21 (1991), 209–226] is proved.
PB  - Elsevier
T2  - Journal of Computational and Applied Mathematics
T1  - On the remainder term of Gauss-Radau quadratures for analytic functions
EP  - 289
IS  - 2
SP  - 281
VL  - 218
UR  - https://hdl.handle.net/21.15107/rcub_machinery_5086
ER  - 
@article{
author = "Milovanović, Gradimir and Spalević, Miodrag and Pranić, Miroslav",
year = "2008",
abstract = "For analytic functions the remainder term of Gauss–Radau quadrature formulae can be represented as a contour integral with a complex kernel. We study the kernel on elliptic contours with foci at the points  and a sum of semi-axes  for the Chebyshev weight function of the second kind. Starting from explicit expressions of the corresponding kernels the location of their maximum modulus on ellipses is determined. The corresponding Gautschi's conjecture from [On the remainder term for analytic functions of Gauss–Lobatto and Gauss–Radau quadratures, Rocky Mountain J. Math. 21 (1991), 209–226] is proved.",
publisher = "Elsevier",
journal = "Journal of Computational and Applied Mathematics",
title = "On the remainder term of Gauss-Radau quadratures for analytic functions",
pages = "289-281",
number = "2",
volume = "218",
url = "https://hdl.handle.net/21.15107/rcub_machinery_5086"
}
Milovanović, G., Spalević, M.,& Pranić, M.. (2008). On the remainder term of Gauss-Radau quadratures for analytic functions. in Journal of Computational and Applied Mathematics
Elsevier., 218(2), 281-289.
https://hdl.handle.net/21.15107/rcub_machinery_5086
Milovanović G, Spalević M, Pranić M. On the remainder term of Gauss-Radau quadratures for analytic functions. in Journal of Computational and Applied Mathematics. 2008;218(2):281-289.
https://hdl.handle.net/21.15107/rcub_machinery_5086 .
Milovanović, Gradimir, Spalević, Miodrag, Pranić, Miroslav, "On the remainder term of Gauss-Radau quadratures for analytic functions" in Journal of Computational and Applied Mathematics, 218, no. 2 (2008):281-289,
https://hdl.handle.net/21.15107/rcub_machinery_5086 .

Error bounds of certain Gaussian quadrature formulae

Spalević, Miodrag; Pranić, Miroslav

(Katholieke Universiteit Leuven Belgium, 2008)

TY  - CONF
AU  - Spalević, Miodrag
AU  - Pranić, Miroslav
PY  - 2008
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/5393
PB  - Katholieke Universiteit Leuven Belgium
C3  - Book of Abstracts, Katholieke Universiteit Leuven Belgium
T1  - Error bounds of certain Gaussian quadrature formulae
UR  - https://hdl.handle.net/21.15107/rcub_machinery_5393
ER  - 
@conference{
author = "Spalević, Miodrag and Pranić, Miroslav",
year = "2008",
publisher = "Katholieke Universiteit Leuven Belgium",
journal = "Book of Abstracts, Katholieke Universiteit Leuven Belgium",
title = "Error bounds of certain Gaussian quadrature formulae",
url = "https://hdl.handle.net/21.15107/rcub_machinery_5393"
}
Spalević, M.,& Pranić, M.. (2008). Error bounds of certain Gaussian quadrature formulae. in Book of Abstracts, Katholieke Universiteit Leuven Belgium
Katholieke Universiteit Leuven Belgium..
https://hdl.handle.net/21.15107/rcub_machinery_5393
Spalević M, Pranić M. Error bounds of certain Gaussian quadrature formulae. in Book of Abstracts, Katholieke Universiteit Leuven Belgium. 2008;.
https://hdl.handle.net/21.15107/rcub_machinery_5393 .
Spalević, Miodrag, Pranić, Miroslav, "Error bounds of certain Gaussian quadrature formulae" in Book of Abstracts, Katholieke Universiteit Leuven Belgium (2008),
https://hdl.handle.net/21.15107/rcub_machinery_5393 .

Error bounds of some Gauss- Turan-Kronrod quadratures with Gori-Micchelli weights for analytic functions

Milovanović, Gradimir; Spalević, Miodrag; Pranić, Miroslav

(Kragujevac : Prirodno-matematički fakultet, 2007)

TY  - JOUR
AU  - Milovanović, Gradimir
AU  - Spalević, Miodrag
AU  - Pranić, Miroslav
PY  - 2007
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/5128
PB  - Kragujevac : Prirodno-matematički fakultet
T2  - Kragujevac Journal of Mathematics
T1  - Error bounds of some Gauss- Turan-Kronrod quadratures with Gori-Micchelli weights for analytic functions
EP  - 234
SP  - 221
VL  - 30
UR  - https://hdl.handle.net/21.15107/rcub_machinery_5128
ER  - 
@article{
author = "Milovanović, Gradimir and Spalević, Miodrag and Pranić, Miroslav",
year = "2007",
publisher = "Kragujevac : Prirodno-matematički fakultet",
journal = "Kragujevac Journal of Mathematics",
title = "Error bounds of some Gauss- Turan-Kronrod quadratures with Gori-Micchelli weights for analytic functions",
pages = "234-221",
volume = "30",
url = "https://hdl.handle.net/21.15107/rcub_machinery_5128"
}
Milovanović, G., Spalević, M.,& Pranić, M.. (2007). Error bounds of some Gauss- Turan-Kronrod quadratures with Gori-Micchelli weights for analytic functions. in Kragujevac Journal of Mathematics
Kragujevac : Prirodno-matematički fakultet., 30, 221-234.
https://hdl.handle.net/21.15107/rcub_machinery_5128
Milovanović G, Spalević M, Pranić M. Error bounds of some Gauss- Turan-Kronrod quadratures with Gori-Micchelli weights for analytic functions. in Kragujevac Journal of Mathematics. 2007;30:221-234.
https://hdl.handle.net/21.15107/rcub_machinery_5128 .
Milovanović, Gradimir, Spalević, Miodrag, Pranić, Miroslav, "Error bounds of some Gauss- Turan-Kronrod quadratures with Gori-Micchelli weights for analytic functions" in Kragujevac Journal of Mathematics, 30 (2007):221-234,
https://hdl.handle.net/21.15107/rcub_machinery_5128 .

On the remainder term of Gauss-Radau quadratures for analytic functions

Pranić, Miroslav; Spalević, Miodrag

(Katholieke Universiteit Leuven Belgium, 2006)

TY  - CONF
AU  - Pranić, Miroslav
AU  - Spalević, Miodrag
PY  - 2006
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/5392
PB  - Katholieke Universiteit Leuven Belgium
C3  - Book of Abstracts, Katholieke Universiteit Leuven Belgium
T1  - On the remainder term of Gauss-Radau quadratures for analytic functions
UR  - https://hdl.handle.net/21.15107/rcub_machinery_5392
ER  - 
@conference{
author = "Pranić, Miroslav and Spalević, Miodrag",
year = "2006",
publisher = "Katholieke Universiteit Leuven Belgium",
journal = "Book of Abstracts, Katholieke Universiteit Leuven Belgium",
title = "On the remainder term of Gauss-Radau quadratures for analytic functions",
url = "https://hdl.handle.net/21.15107/rcub_machinery_5392"
}
Pranić, M.,& Spalević, M.. (2006). On the remainder term of Gauss-Radau quadratures for analytic functions. in Book of Abstracts, Katholieke Universiteit Leuven Belgium
Katholieke Universiteit Leuven Belgium..
https://hdl.handle.net/21.15107/rcub_machinery_5392
Pranić M, Spalević M. On the remainder term of Gauss-Radau quadratures for analytic functions. in Book of Abstracts, Katholieke Universiteit Leuven Belgium. 2006;.
https://hdl.handle.net/21.15107/rcub_machinery_5392 .
Pranić, Miroslav, Spalević, Miodrag, "On the remainder term of Gauss-Radau quadratures for analytic functions" in Book of Abstracts, Katholieke Universiteit Leuven Belgium (2006),
https://hdl.handle.net/21.15107/rcub_machinery_5392 .

Maximum of the modulus of kernels in Gauss-Turan quadratures with Chebyshev weights: The case s = 1, 2

Milovanović, Gradimir; Spalević, Miodrag; Pranić, Miroslav

(2005)

TY  - JOUR
AU  - Milovanović, Gradimir
AU  - Spalević, Miodrag
AU  - Pranić, Miroslav
PY  - 2005
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/5126
T2  - Facta Universitatis, Series: Mathematics and Informatics
T1  - Maximum of the modulus of kernels in Gauss-Turan quadratures with Chebyshev weights: The case s = 1, 2
EP  - 128
SP  - 123
VL  - 20
UR  - https://hdl.handle.net/21.15107/rcub_machinery_5126
ER  - 
@article{
author = "Milovanović, Gradimir and Spalević, Miodrag and Pranić, Miroslav",
year = "2005",
journal = "Facta Universitatis, Series: Mathematics and Informatics",
title = "Maximum of the modulus of kernels in Gauss-Turan quadratures with Chebyshev weights: The case s = 1, 2",
pages = "128-123",
volume = "20",
url = "https://hdl.handle.net/21.15107/rcub_machinery_5126"
}
Milovanović, G., Spalević, M.,& Pranić, M.. (2005). Maximum of the modulus of kernels in Gauss-Turan quadratures with Chebyshev weights: The case s = 1, 2. in Facta Universitatis, Series: Mathematics and Informatics, 20, 123-128.
https://hdl.handle.net/21.15107/rcub_machinery_5126
Milovanović G, Spalević M, Pranić M. Maximum of the modulus of kernels in Gauss-Turan quadratures with Chebyshev weights: The case s = 1, 2. in Facta Universitatis, Series: Mathematics and Informatics. 2005;20:123-128.
https://hdl.handle.net/21.15107/rcub_machinery_5126 .
Milovanović, Gradimir, Spalević, Miodrag, Pranić, Miroslav, "Maximum of the modulus of kernels in Gauss-Turan quadratures with Chebyshev weights: The case s = 1, 2" in Facta Universitatis, Series: Mathematics and Informatics, 20 (2005):123-128,
https://hdl.handle.net/21.15107/rcub_machinery_5126 .