Error bounds of a quadrature formula with multiple nodes for the Fourier-Chebyshev coefficients for analytic functions
Numerical Analysis
2018-02-09 v1
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.
Keywords
Cite
@article{arxiv.1802.02635,
title = {Error bounds of a quadrature formula with multiple nodes for the Fourier-Chebyshev coefficients for analytic functions},
author = {Aleksandar V. Pejcev and Miodrag M. Spalevic},
journal= {arXiv preprint arXiv:1802.02635},
year = {2018}
}
Comments
This paper has been accepted for publication in SCIENCE CHINA Mathematics