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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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.
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Language:English
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Mathematics
Mathematics and Statistics
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container_title Analysis mathematica (Budapest)
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creator Benli, F. B.
İlhan, O. A.
Kasimov, Sh. G.
Xaitboyev, G. S.
description 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.
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title A multidimensional analogue of the A. N. Tikhonov’s Theorem on calculating values of a function with respect to approximately given Fourier coefficients
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