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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Fourier summation with kernels defined by Jacobi polynomials
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by R. Lasser PDF
Proc. Amer. Math. Soc. 114 (1992), 677-682 Request permission

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.
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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 114 (1992), 677-682
  • MSC: Primary 42A10
  • DOI: https://doi.org/10.1090/S0002-9939-1992-1072343-8
  • MathSciNet review: 1072343