2019
Том 71
№ 9

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Estimation of the moduli of continuity of one-variable functions in the metric of $L$ in terms of fourier coefficients

Telyakovskii S. A.

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Abstract

This paper is a survey of results concerning the estimation of the moduli of continuity of functions in the metric of L in terms of their Fourier coefficients. Upper bounds, lower bounds, and asymptotic estimates of the moduli of continuity are presented.

English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 5, pp 671-678.

Citation Example: Telyakovskii S. A. Estimation of the moduli of continuity of one-variable functions in the metric of $L$ in terms of fourier coefficients // Ukr. Mat. Zh. - 1994. - 46, № 5. - pp. 626–632.

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