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

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2019,（9）
• 页码范围: 1657-1668
• 页数: 12页
• 语种: 英文

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.