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. , İlhan O. A. , G. Kasimov S., S. Xaitboev G.

Analysis Mathematica, cilt.2, sa.2, ss.1-8, 2020 (SCI Expanded İndekslerine Giren Dergi)

  • Cilt numarası: 2 Konu: 2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s10476-020-0054-6
  • Dergi Adı: Analysis Mathematica
  • Sayfa Sayıları: ss.1-8

Özet

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.