Fourier summation with kernels defined by Jacobi polynomials-Reference-Cited by-同舟云学术

Fourier summation with kernels defined by Jacobi polynomials

Published:1992 Issue:3 Volume:114 Page:677-682
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Lasser R.

Abstract

Trigonometric polynomial kernels defined by Jacobi polynomials are investigated. They generalize the classical Dirichlet kernel and the Fejér kernel. The asymptotic behavior of the corresponding Fourier summation obtained is leading to optimal kernels.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1992-114-03/S0002-9939-1992-1072343-8/S0002-9939-1992-1072343-8.pdf

Reference7 articles.

1. M. Abramowitz and I. A. Stegun, Handbook of mathematical functions, Dover Publ., New York, 1972.

2. Jacobi summability;Askey, Richard;J. Approximation Theory,1972

3. \bysame, Orthogonal polynomials and special functions, SIAM, Philadelphia, PA, 1975.

4. Pure and Applied Mathematics, Vol. 40;Butzer, Paul L.,1971

5. Positive sums of the classical orthogonal polynomials;Gasper, George;SIAM J. Math. Anal.,1977

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