2017
Том 69
№ 9

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

Kononovych T. O.

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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.

English version (Springer): Ukrainian Mathematical Journal 55 (2003), no. 8, pp 1377-1382.

Citation Example: Kononovych T. O. Estimate for the Best Approximation of Summable Functions of Several Variables with a Certain Symmetry of Fourier Coefficients // Ukr. Mat. Zh. - 2003. - 55, № 8. - pp. 1138-1142.

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