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Ukrainian Mathematical Journal

, Volume 56, Issue 1, pp 86–95 | Cite as

On the Approximation by Modified Interpolation Polynomials in Spaces Lp

  • A. B. Metelichenko
Article
  • 23 Downloads

Abstract

We consider certain modified interpolation polynomials for functions from the space Lp[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.

Keywords

Original Function Interpolation Polynomial Modify Interpolation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 2004

Authors and Affiliations

  • A. B. Metelichenko
    • 1
  1. 1.Odessa UniversityOdessa

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