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Approximation of weakly differentiable periodic functions

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Abstract

An asymptotic equality is found for the lower bounds of the best approximations of the classes C ψβ ,∞ under a condition of slow growth of ψ(·).

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Literature cited

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Authors and Affiliations

  1. Mathematics Institute, Academy of Sciences of the Ukrainian SSR, Kiev

    D. N. Bushev & A. I. Stepanets

Authors
  1. D. N. Bushev
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  2. A. I. Stepanets
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 3, pp. 406–412, March, 1990.

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Bushev, D.N., Stepanets, A.I. Approximation of weakly differentiable periodic functions. Ukr Math J 42, 361–366 (1990). https://doi.org/10.1007/BF01057026

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  • DOI: https://doi.org/10.1007/BF01057026

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