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A Multidimensional Analogue of the A. N. Tikhonov’s Theorem on Calculating Values of a Function with Respect to Approximately Given Fourier Coefficients
Analysis Mathematica ( IF 0.7 ) Pub Date : 2020-08-18 , DOI: 10.1007/s10476-020-0054-6 F. B. Benli , O. A. İlhan , Sh. G. Kasimov , G. S. Xaitboyev
中文翻译:
关于近似给定傅立叶系数的函数值计算的AN Tikhonov定理的多维模拟
更新日期:2020-08-18
Analysis Mathematica ( IF 0.7 ) Pub Date : 2020-08-18 , DOI: 10.1007/s10476-020-0054-6 F. B. Benli , O. A. İlhan , Sh. G. Kasimov , G. S. Xaitboyev
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.
中文翻译:
关于近似给定傅立叶系数的函数值计算的AN Tikhonov定理的多维模拟
在本文中,我们研究在给定的固定点根据函数的傅立叶系数的近似值来重构几个变量的函数的近似问题。给出了在任意给定的固定点处具有几个变量且误差很小的函数值的重构定理。