Paper Info
Title
The error bounds of Gauss quadrature formulae for the modified weight functions of Chebyshev type
Abstract
In this paper, we consider the Gauss quadrature formulae corresponding to some modifications of each of the four Chebyshev weights, considered by Gautschi and Li in [4]. As it is well known, in the case of analytic integrands the error of these quadrature formulas can be represented as a contour integral with a complex kernel. We study the kernel of the mentioned quadrature formulas on suitable elliptic contours, in such a way that the behavior of its modulus is analyzed in a rather simple manner, allowing us to derive some effective error bounds. In addition, some numerical examples checking the accuracy of such error bounds are included.
Year
DOI
Venue
2020
10.1016/j.amc.2019.124806
Applied Mathematics and Computation
Keywords
Field
DocType
Gauss quadrature formulae,Chebyshev weight functions,contour integral representation,remainder term for analytic functions,error bound
Kernel (linear algebra),Mathematical analysis,Methods of contour integration,Modulus,Chebyshev filter,Quadrature (mathematics),Gaussian quadrature,Mathematics
Journal
Volume
ISSN
Citations 
369
0096-3003
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
R. Orive1165.63
Aleksandar V. Pejčev2103.13
Miodrag M. Spalevic3519.97