A multidimensional analogue of the A. N. Tikhonov’s Theorem on calculating values of a function with respect to approximately given Fourier coefficients

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 give...

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Bibliographic Details
Published in:Analysis mathematica (Budapest) 2020-12, Vol.46 (4), p.655-665
Main Authors: Benli, F. B., İlhan, O. A., Kasimov, Sh. G., Xaitboyev, G. S.
Format: Article
Language:English
Subjects:
Analysis
Mathematics
Mathematics and Statistics
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Summary: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.
ISSN:0133-3852
1588-273X
DOI:10.1007/s10476-020-0054-6