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Estimate for the Best Approximation of Summable Functions of Several Variables with a Certain Symmetry of Fourier Coefficients

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Abstract

An upper bound for the best approximation of summable functions of several variables by trigonometric polynomials in the metric of L is determined in terms of Fourier coefficients. We consider functions representable by trigonometric series with certain symmetry of coefficients satisfying a multiple analog of the Sidon–Telyakovskii conditions.

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  1. Poltava Pedagogic University, Poltava

    T. O. Kononovych

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  1. T. O. Kononovych
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Kononovych, T.O. Estimate for the Best Approximation of Summable Functions of Several Variables with a Certain Symmetry of Fourier Coefficients. Ukrainian Mathematical Journal 55, 1377–1382 (2003). https://doi.org/10.1023/B:UKMA.0000010765.71607.e5

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  • DOI: https://doi.org/10.1023/B:UKMA.0000010765.71607.e5

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