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Estimates of the mixed norms of derivatives and of the mixed moduli of smoothness of functions having monotone Fourier coefficients

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Abstract

Lower and upper bounds for the mixed norms of derivatives and mixed moduli of smoothness of functions having monotone Fourier coefficients are proved.

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Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, Russia

    T. M. Vukolova

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  1. T. M. Vukolova
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Correspondence to T. M. Vukolova.

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Original Russian Text © T. M. Vukolova, 2015, published in Matematicheskie Zametki, 2015, Vol. 97, No. 6, pp. 841–854.

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Vukolova, T.M. Estimates of the mixed norms of derivatives and of the mixed moduli of smoothness of functions having monotone Fourier coefficients. Math Notes 97, 854–866 (2015). https://doi.org/10.1134/S0001434615050211

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  • DOI: https://doi.org/10.1134/S0001434615050211

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