Construction of optimal grid interpolation formulas in Sobolev space $\widetilde{L_2^m}(H)$ of periodic function of $n$ variables by Sobolev method

Authors

  • N.Kh. Mamatova
    Institute for Mathematics and Information Technologies of the National Academy of Sciences of Uzbekistan
  • A.R. Hayotov
    Institute for Mathematics and Information Technologies of the National Academy of Sciences of Uzbekistan
  • Kh.M. Shadimetov
    Institute for Mathematics and Information Technologies of the National Academy of Sciences of Uzbekistan

DOI:

https://doi.org/10.13108/2013-5-1-90

Keywords:

Sobolev space, optimal interpolation formula, properties of the discrete analogue of the operator $\Delta^m$, optimal coefficients.

Abstract

In the present work we consider the problem of constructing optimal grid interpolation formulas in the space $\widetilde{L_2^m}(H)$ of periodic function of $n$ variables. We find the coefficients of grid interpolation formulas.

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Published

20.03.2013

Issue

Vol. 5 No. 1 (2013): Ufa Mathematical Journal 2013, volume 5 , issue 1

Section

Article