Error bounds of a quadrature formula with multiple nodes for the Fourier-Chebyshev coefficients for analytic functions
arXiv:1802.02635
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.
This paper has been accepted for publication in SCIENCE CHINA Mathematics