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On the Approximation by Modified Interpolation Polynomials in Spaces L p

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Abstract

We consider certain modified interpolation polynomials for functions from the space L p[0, 2π], 1 ≤ p ≤ ∞. An estimate for the rate of approximation of an original function f by these polynomials in terms of its modulus of continuity is obtained. We establish that these polynomials converge almost everywhere to f.

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Authors and Affiliations

  1. Odessa University, Odessa

    A. B. Metelichenko

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  1. A. B. Metelichenko
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Metelichenko, A.B. On the Approximation by Modified Interpolation Polynomials in Spaces L p . Ukrainian Mathematical Journal 56, 86–95 (2004). https://doi.org/10.1023/B:UKMA.0000031704.59635.ea

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  • DOI: https://doi.org/10.1023/B:UKMA.0000031704.59635.ea

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