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A relaxed estimate of the degree of approximation by Fourier series in generalized Hölder metric - MaRDI portal

A relaxed estimate of the degree of approximation by Fourier series in generalized Hölder metric (Q1046790)

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scientific article; zbMATH DE number 5651882
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A relaxed estimate of the degree of approximation by Fourier series in generalized Hölder metric
scientific article; zbMATH DE number 5651882

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    A relaxed estimate of the degree of approximation by Fourier series in generalized Hölder metric (English)
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    28 December 2009
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    The aim of the paper is to give a relaxed estimate pertaining to the degree of approximation of the partial sums of Fourier series in a new Banach space of functions. Furthermore, applying our new result, we verify, under certain natural conditions, that some classical means have the same approximation degree as the partial sums.
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    summability of Fourier series
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    trigonometric approximation
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