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Uniform convergence of the Fourier-Jacoby series on the orthogonality segment - MaRDI portal

Uniform convergence of the Fourier-Jacoby series on the orthogonality segment (Q916037)

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scientific article; zbMATH DE number 4153163
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Uniform convergence of the Fourier-Jacoby series on the orthogonality segment
scientific article; zbMATH DE number 4153163

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    Uniform convergence of the Fourier-Jacoby series on the orthogonality segment (English)
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    1989
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    Consider, for a real function, a Fourier series with respect to Jacobi polynomials on the interval [-1,1]. The author answers following question: Which smoothness conditions are sufficient for a function to have a uniformly convergent Fourier series which is convergent at the endpoints of [-1,1].
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    Fourier series
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    Jacobi polynomials
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