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Limit theorems for the best polynomial approximations in the L∞ metric

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Abstract

A limiting equality is established between the best approximations in L∞ of functions of several variables by algebraic polynomials and entire functions of exponential type.

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Authors and Affiliations

  1. Dnepropetrovsk University, USSR

    M. I. Ganzburg

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  1. M. I. Ganzburg
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, No. 3, pp. 336–342, March, 1991.

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Ganzburg, M.I. Limit theorems for the best polynomial approximations in the L∞ metric. Ukr Math J 43, 299–305 (1991). https://doi.org/10.1007/BF01670069

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  • DOI: https://doi.org/10.1007/BF01670069

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