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A trigonometric orthogonality with respect to a nonnegative Borel measure
(Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš, 2012)
In this paper we consider trigonometric polynomials of semi-integer degree orthogonal with respect to a linear functional, defined by a nonnegative Borel measure. By using a suitable vector form we consider the corresponding ...
Error Bounds for Gauss-Lobatto Quadrature Formula with Multiple End Points with Chebyshev Weight Function of the Third and the Fourth Kind
(Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš, 2016)
For analytic functions the remainder terms of 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 -/+ 1, for Gauss-Lobatto ...
Fixed Point Theorems for g-Monotone Maps on Partially Ordered S-Metric Spaces
(Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš, 2014)
In this paper, we prove some fixed point theorems for g-monotone maps on partially ordered S-metric spaces. Our results generalize fixed point theorems in [1] and [7] for maps on metric spaces to the structure of S-metric ...
Error Estimates for Certain Cubature Formulae
(Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš, 2018)
We estimate the errors of selected cubature formulae constructed by the product of Gauss quadrature rules. The cases of multiple and (hyper-)surface integrals over n-dimensional cube, simplex, sphere and ball are considered. ...
Error Estimations of Turan Formulas with Gori-Micchelli and Generalized Chebyshev Weight Functions
(Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš, 2018)
S. Li in [Studia Sci. Math. Hungar. 29 (1994) 71-83] proposed a Kronrod type extension to the well-known Turan formula. He showed that such an extension exists for any weight function. For the classical Chebyshev weight ...
Rational Averaged Gauss Quadrature Rules
(Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš, 2020)
It is important to be able to estimate the quadrature error in Gauss rules. Several approaches have been developed, including the evaluation of associated Gauss-Kronrod rules (if they exist), or the associated averaged ...
Fractional-Order Iterative Learning Control for Robotic Arm-(PDD alpha)-D-2 Type
(Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš, 2021)
In this paper, a new open-loop (PDDa)-D-2 type a fractional order iterative learning control (ILC) is studied for joint space trajectory tracking control of a linearized uncertain robotic arm. The robust convergent analysis ...
Realizing Brachistochronic Planar Motion of a Variable Mass Nonholonomic Mechanical System by an Ideal Holonomic Constraint with Restricted Reaction
(Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš, 2019)
The paper considers realization of the brachistochronic motion of a nonholonomic mechanical system, composed of variable mass particles, by means of an ideal holonomic constraint with restricted reaction. It is assumed ...
On the convergence of Ishikawa iterates defined by nonlinear quasi-contractions
(Faculty of Sciences and Mathematics, University of Niš, Serbia, 2023)
In this study, we establish the convergence of Ishikawa iterates defined by nonlinear quasicontractive mappings on TVS-cone metric space. Further, our results generalize many existing results in
the literature.