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Error bounds of a quadrature formula with multiple nodes for the Fourier-Chebyshev coefficients for analytic functions

Error bounds of a quadrature formula with multiple nodes for the Fourier-Chebyshev coefficients for analytic functions
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摘要 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. 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.
出处 《Science China Mathematics》 SCIE CSCD 2019年第9期1657-1668,共12页 中国科学:数学(英文版)
基金 supported by the Serbian Ministry of Education,Science and Technological Development(Research Project:Methods of Numerical and Nonlinear Analysis with Applications)(Grant No.174002)
关键词 error bound QUADRATURE formula with MULTIPLE NODES ANALYTIC function error bound quadrature formula with multiple nodes analytic function
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