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On the best L 1-approximation of truncated powers by algebraic polynomials

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Abstract

We determine the asymptotic behavior of the best L1-approximations of the kernels (x - a) r-+ 1, 1 < r < 2, and the classes W r1 by algebraic polynomials.

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Authors and Affiliations

  1. Dnepropetrovsk University, Dnepropetrovsk

    P. K. Nitiema

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  1. P. K. Nitiema
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 4, pp. 593–598, April, 1998.

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Nitiema, P.K. On the best L 1-approximation of truncated powers by algebraic polynomials. Ukr Math J 50, 673–679 (1998). https://doi.org/10.1007/BF02487399

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  • DOI: https://doi.org/10.1007/BF02487399

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