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On the best approximation of classes of convolutions of periodic functions by trigonometric polynomials

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Abstract

We present sufficient conditions for kernels to belong to the classN *n . In certain cases, this enables us to find exact values of the best approximations of classes of convolutions by trigonometric polynomials in the metrics ofC andL.

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Authors and Affiliations

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

    A. S. Serdyuk

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  1. A. S. Serdyuk
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 9, pp. 1261–1265, September, 1995.

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Serdyuk, A.S. On the best approximation of classes of convolutions of periodic functions by trigonometric polynomials. Ukr Math J 47, 1435–1440 (1995). https://doi.org/10.1007/BF01057518

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  • DOI: https://doi.org/10.1007/BF01057518

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