Fourier summation with kernels defined by jacobi polynomials

R. Lasser

doi:10.1090/S0002-9939-1992-1072343-8

Fourier summation with kernels defined by jacobi polynomials

R. Lasser

Helmholtz Zentrum München German Research Center for Environmental Health

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English
Pages (from-to)	677-682
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	114
Issue number	3
DOIs	https://doi.org/10.1090/S0002-9939-1992-1072343-8
State	Published - Mar 1992
Externally published	Yes

Keywords

Fourier approximation
Jacobi polynomials

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10.1090/S0002-9939-1992-1072343-8

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title = "Fourier summation with kernels defined by jacobi polynomials",

abstract = "Trigonometric polynomial kernels defined by Jacobi polynomials are investigated. They generalize the classical Dirichlet kernel and the Fej{\'e}r kernel. The asymptotic behavior of the corresponding Fourier summation obtained is leading to optimal kernels.",

keywords = "Fourier approximation, Jacobi polynomials",

author = "R. Lasser",

year = "1992",

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journal = "Proceedings of the American Mathematical Society",

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AU - Lasser, R.

PY - 1992/3

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N2 - 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.

AB - 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.

KW - Fourier approximation

KW - Jacobi polynomials

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EP - 682

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JF - Proceedings of the American Mathematical Society

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Fourier summation with kernels defined by jacobi polynomials

Abstract

Keywords

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