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Inverse theorems on approximation of periodic functions

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Abstract

We obtain new inverse theorems on the approximation of periodic functions f(·) that establish conditions for the existence of their (ψ, β)-derivatives. These theorems also guarantee a certain smoothness of these derivatives.

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Authors and Affiliations

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

    A. I. Stepanets

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  1. A. I. Stepanets
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 9, pp. 1266–1273, September, 1995.

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Stepanets, A.I. Inverse theorems on approximation of periodic functions. Ukr Math J 47, 1441–1448 (1995). https://doi.org/10.1007/BF01057519

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  • DOI: https://doi.org/10.1007/BF01057519

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