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The best trigonometric and bilinear approximations for functions of many variables from the classesB r p, θ . II

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Ukrainian Mathematical Journal Aims and scope

Abstract

Order estimates are obtained for the best trigonometric and bilinear approximations of the classesB r p, θ of functions of many variables in the metricL q, wherep andq connected by certain relations.

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Authors and Affiliations

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

    A. S. Romanyuk

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  1. A. S. Romanyuk
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 10, pp. 1411–1423, October, 1993.

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Romanyuk, A.S. The best trigonometric and bilinear approximations for functions of many variables from the classesB r p, θ . II. Ukr Math J 45, 1583–1597 (1993). https://doi.org/10.1007/BF01571092

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  • DOI: https://doi.org/10.1007/BF01571092

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