Affordable Access

Publisher Website

Weighted integration of periodic functions on the real line

Authors
Journal
Applied Mathematics and Computation
0096-3003
Publisher
Elsevier
Publication Date
Volume
128
Identifiers
DOI: 10.1016/s0096-3003(01)00080-7
Keywords
  • Gauss-Type Quadratures
  • Error Term
  • Convergence
  • Orthogonal Polynomials
  • Nonnegative Measure
  • Weights
  • Chebyshev Weight
  • Szegő–Bernstein Weights
  • Nodes
  • Modified Moments
  • Chebyshev Polynomials

Abstract

Abstract Integration of periodic functions on the real line with an even rational weight function is considered. A transformation method of such integrals to the integrals on (−1,1) with respect to the Szegő–Bernstein weights and a construction of the corresponding Gaussian quadrature formulas are given. The recursion coefficients in the three-term recurrence relation for the corresponding orthogonal polynomials were obtained in an analytic form. Numerical examples are also included.

There are no comments yet on this publication. Be the first to share your thoughts.