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On the best approximation of classes Wr Hω by algebraic polynomials in the space L1

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Abstract

We obtain an asymptotic equality for the best approximation of the classes Wr Hω by algebraic polynomials in the space L1 for convex upwards, regularly varying moduli of continuity.

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References

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Authors and Affiliations

  1. Dnepropetrovsk University, Dnepropetrovsk

    A. M. Kogan

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  1. A. M. Kogan
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol.51, No. 11, pp. 1456–1466, November, 1999.

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Kogan, A.M. On the best approximation of classes Wr Hω by algebraic polynomials in the space L1 . Ukr Math J 51, 1643–1655 (1999). https://doi.org/10.1007/BF02525268

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  • DOI: https://doi.org/10.1007/BF02525268

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