2017
Том 69
№ 9

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Estimate for the Best Approximation of Summable Functions of Two Variables in Terms of Fourier Coefficients

Kononovych T. O.

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Abstract

An upper bound for the best approximation of periodic summable functions of two variables in the metric of L is obtained in terms of Fourier coefficients. Functions that can be represented by trigonometric series with coefficients satisfying a two-dimensional analog of the Boas–Telyakovskii conditions are considered.

English version (Springer): Ukrainian Mathematical Journal 56 (2004), no. 1, pp 62-85.

Citation Example: Kononovych T. O. Estimate for the Best Approximation of Summable Functions of Two Variables in Terms of Fourier Coefficients // Ukr. Mat. Zh. - 2004. - 56, № 1. - pp. 51-69.

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