Error bounds of a quadrature formula with multiple nodes for the Fourier-Chebyshev coefficients for analytic functions
Само за регистроване кориснике
2019
Чланак у часопису (Објављена верзија)
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Three kinds of effective error bounds of the quadrature formulas with multiple nodes that are generalizations of the well-known Micchelli-Rivlin quadrature formula, when the integrand is a function analytic in the regions bounded by confocal ellipses, are given. A numerical example which illustrates the calculation of these error bounds is included.
Кључне речи:
quadrature formula with multiple nodes / error bound / analytic functionИзвор:
Science China-Mathematics, 2019, 62, 9, 1657-1668Издавач:
- Science Press, Beijing
Финансирање / пројекти:
- Методе нумеричке и нелинеарне анализе са применама (RS-MESTD-Basic Research (BR or ON)-174002)
DOI: 10.1007/s11425-016-9259-5
ISSN: 1674-7283
WoS: 000483693600002
Scopus: 2-s2.0-85049800580
Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Pejčev, Aleksandar AU - Spalević, Miodrag PY - 2019 UR - https://machinery.mas.bg.ac.rs/handle/123456789/3012 AB - Three kinds of effective error bounds of the quadrature formulas with multiple nodes that are generalizations of the well-known Micchelli-Rivlin quadrature formula, when the integrand is a function analytic in the regions bounded by confocal ellipses, are given. A numerical example which illustrates the calculation of these error bounds is included. PB - Science Press, Beijing T2 - Science China-Mathematics T1 - Error bounds of a quadrature formula with multiple nodes for the Fourier-Chebyshev coefficients for analytic functions EP - 1668 IS - 9 SP - 1657 VL - 62 DO - 10.1007/s11425-016-9259-5 ER -
@article{ author = "Pejčev, Aleksandar and Spalević, Miodrag", year = "2019", abstract = "Three kinds of effective error bounds of the quadrature formulas with multiple nodes that are generalizations of the well-known Micchelli-Rivlin quadrature formula, when the integrand is a function analytic in the regions bounded by confocal ellipses, are given. A numerical example which illustrates the calculation of these error bounds is included.", publisher = "Science Press, Beijing", journal = "Science China-Mathematics", title = "Error bounds of a quadrature formula with multiple nodes for the Fourier-Chebyshev coefficients for analytic functions", pages = "1668-1657", number = "9", volume = "62", doi = "10.1007/s11425-016-9259-5" }
Pejčev, A.,& Spalević, M.. (2019). Error bounds of a quadrature formula with multiple nodes for the Fourier-Chebyshev coefficients for analytic functions. in Science China-Mathematics Science Press, Beijing., 62(9), 1657-1668. https://doi.org/10.1007/s11425-016-9259-5
Pejčev A, Spalević M. Error bounds of a quadrature formula with multiple nodes for the Fourier-Chebyshev coefficients for analytic functions. in Science China-Mathematics. 2019;62(9):1657-1668. doi:10.1007/s11425-016-9259-5 .
Pejčev, Aleksandar, Spalević, Miodrag, "Error bounds of a quadrature formula with multiple nodes for the Fourier-Chebyshev coefficients for analytic functions" in Science China-Mathematics, 62, no. 9 (2019):1657-1668, https://doi.org/10.1007/s11425-016-9259-5 . .