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Estimates for the best approximation and integral modulus of continuity of a function in terms of its Fourier coefficients

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Abstract

In the integral metric, lower bounds are obtained for the best approximation and the modulus of continuity of a function in terms of its Fourier coefficients.

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Authors and Affiliations

  1. Ukrainian Academy of Light Industry, Kiev

    P. V. Zaderei

  2. Volyn University, Lutsk

    B. A. Smal’

Authors
  1. P. V. Zaderei
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  2. B. A. Smal’
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 4, pp. 496–503, April, 1998.

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Zaderei, P.V., Smal’, B.A. Estimates for the best approximation and integral modulus of continuity of a function in terms of its Fourier coefficients. Ukr Math J 50, 562–571 (1998). https://doi.org/10.1007/BF02487388

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  • DOI: https://doi.org/10.1007/BF02487388

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