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Fourier summation with kernels defined by Jacobi polynomials


Author: R. Lasser
Journal: Proc. Amer. Math. Soc. 114 (1992), 677-682
MSC: Primary 42A10
MathSciNet review: 1072343
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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.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1992-1072343-8
Keywords: Fourier approximation, Jacobi polynomials
Article copyright: © Copyright 1992 American Mathematical Society