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Approximation of functions of boundedp-variation by polynomials in terms of the faber-schauder system

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Abstract

In this paper the best polynomial approximation in terms of the system of Faber-Schauder functions in the spaceC p [0, 1] is studied. The constant in the estimate of Jackson’s inequality for the best approximation in the metric ofC p [0, 1] and the estimate of the modulus of continuity ω1−1/p are refined.

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Authors and Affiliations

  1. Saratov State University, Saratov, USSR

    S. S. Volosivets

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  1. S. S. Volosivets
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Translated fromMatematicheskie Zametki, Vol. 62, No. 3, pp. 363–371, September, 1997.

Translated by N. K. Kulman

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Volosivets, S.S. Approximation of functions of boundedp-variation by polynomials in terms of the faber-schauder system. Math Notes 62, 306–313 (1997). https://doi.org/10.1007/BF02360871

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