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Approximation Characteristics of Spaces \(S_\phi ^p\)

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Abstract

We introduce linear vector spaces \(S_\phi ^p\) and study their approximation properties. By using the general results obtained, we establish statements concerning the approximation of classes of periodic functions of many variables by trigonometric polynomials.

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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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Stepanets, A.I. Approximation Characteristics of Spaces \(S_\phi ^p\) . Ukrainian Mathematical Journal 53, 446–475 (2001). https://doi.org/10.1023/A:1012348506457

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