Abstract
This paper is a survey of results concerning the estimation of the moduli of continuity of functions in the metric ofL in terms of their Fourier coefficients. Upper bounds, lower bounds, and asymptotic estimates of the moduli of continuity are presented.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 5, pp. 626–632, May, 1994.
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Telyakovskii, S.A. Estimation of the moduli of continuity of one-variable functions in the metric ofL in terms of fourier coefficients. Ukr Math J 46, 671–678 (1994). https://doi.org/10.1007/BF01058526
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DOI: https://doi.org/10.1007/BF01058526