A Multidimensional Analogue of the A. N. Tikhonov's Theorem on Calculating Values of a Function with Respect to Approximately Given Fourier Coefficients

Benli F. B., Ilhan O. A., Kasimov S. G., Xaitboyev G. S.

ANALYSIS MATHEMATICA, vol.46, no.4, pp.655-665, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 46 Issue: 4
  • Publication Date: 2020
  • Doi Number: 10.1007/s10476-020-0054-6
  • Journal Name: ANALYSIS MATHEMATICA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.655-665
  • Erciyes University Affiliated: Yes

Abstract

In this paper, we study the problem of approximation to reconstruct the value of a function of several variables from the approximate values of the Fourier coefficients of a function at a given fixed point. A theorem on the reconstruction of the value of a function with several variables at any given fixed point with a small error is given.