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Fourier coefficients of functions with a given modulus of continuity

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An Erratum to this article was published on 01 April 2008

Abstract

In this paper, we study the role of the convexity condition for the modulus of continuity in the problem of finding an upper bound for the Fourier coefficients taken over the class of functions with a given modulus of continuity. Also, we solve the problem of the Fourier coefficients for the Rademacher system.

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Authors and Affiliations

  1. Moscow State University, Russia

    V. S. Biryukova

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  1. V. S. Biryukova
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Original Russian Text © V. S. Biryukova, 2007, published in Matematicheskie Zametki, 2007, Vol. 81, No. 2, pp. 184–192.

An erratum to this article can be found online at http://dx.doi.org/10.1134/S0001434608030334.

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Biryukova, V.S. Fourier coefficients of functions with a given modulus of continuity. Math Notes 81, 164–171 (2007). https://doi.org/10.1134/S0001434607010191

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  • DOI: https://doi.org/10.1134/S0001434607010191

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