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On Kolmogorov widths of classesB r p,θ of periodic functions of many variables with low smoothness in the spacel q

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Abstract

We study the Kolmogorov widths of Besov classesB r p,θ of periodic functions of many variables with low smoothness in the spaceLq, 1<q<<∞. We also investigate the behavior of widths of such classes with critical indices of smoothness.

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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. 46, No. 7, pp. 915–926, July, 1994.

The author is deeply grateful to Prof. A. Stepanets for fruitful discussions.

This work was supported by the Ukrainian State Committee on Science and Technology.

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Romanyuk, A.S. On Kolmogorov widths of classesB r p,θ of periodic functions of many variables with low smoothness in the spacel q . Ukr Math J 46, 1003–1015 (1994). https://doi.org/10.1007/BF01056677

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  • DOI: https://doi.org/10.1007/BF01056677

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