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The best trigonometric approximations and the Kolmogorov diameters of the Besov classes of functions of many variables

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Abstract

The order estimates for the best trigonometric approximations and the Kolmogorov diameters of the classesB rp,θ of functions of many variables in the spaceL q are obtained for certain values of the parametersp andq.

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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. 5, pp. 663–675, May, 1993.

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Romanyuk, A.S. The best trigonometric approximations and the Kolmogorov diameters of the Besov classes of functions of many variables. Ukr Math J 45, 724–738 (1993). https://doi.org/10.1007/BF01058208

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  • DOI: https://doi.org/10.1007/BF01058208

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