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Direct and Inverse Theorems on Approximation by Piecewise Polynomial Functions

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Abstract

The paper is concerned with some characteristics of approximation by piecewise polynomial functions with nonfixed knots in various integral metrics L p [a, b], 0 < p≤∞.

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Authors and Affiliations

  1. Department of Mechanics and Mathematics, Moscow State University, Vorobjovy Gory, Moscow, 119991, Russia

    A. S. Kochurov

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  1. A. S. Kochurov
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Correspondence to A. S. Kochurov.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 18, No. 5, pp. 129–144, 2013.

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Kochurov, A.S. Direct and Inverse Theorems on Approximation by Piecewise Polynomial Functions. J Math Sci 209, 96–107 (2015). https://doi.org/10.1007/s10958-015-2487-1

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  • DOI: https://doi.org/10.1007/s10958-015-2487-1

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