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

2018/02/07 by Aleksandar V. Pejčev, Pejcev, Aleksandar V., Miodrag M. Spalević +1
Engineering · Mathematics · #41A55 #65D30 #FOS: Mathematics #Mathematical functions and polynomials #Numerical Analysis (math.NA) #Numerical methods in inverse problems #Radiative Heat Transfer Studies

paper · pdf · doi:10.48550/arxiv.1802.02635

openalex publication_date 2018/02/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Three kinds of effective error bounds of the quadrature formulas with\nmultiple nodes that are generalizations of the well known Micchelli-Rivlin\nquadrature formula, when the integrand is a function analytic in the regions\nbounded by confocal ellipses, are given. A numerical example which illustrates\nthe calculation of these error bounds is included.\n

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