Summation of smooth functions of two variables with perturbed Fourier coefficients

DOI10.1515/jiip-2013-0076zbMath1334.42058OpenAlexW2314845709MaRDI QIDQ2350734

Kosnazar K. Sharipov, Sergey G. Solodky

Publication date: 25 June 2015

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2013-0076

zbMATH Keywords

regularization methodill-posed problemhyperbolic crossbalancing principle

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Summability and absolute summability of Fourier and trigonometric series (42A24)

Related Items (5)

Application of Fourier truncation method to numerical differentiation for bivariate functions ⋮ Recovery of function from noisy Fourier coefficients with respect to the Haar system ⋮ The minimal radius of Galerkin information for the problem of numerical differentiation ⋮ Estimates of efficiency for two methods of stable numerical summation of smooth functions ⋮ Optimization of the methods of numerical differentiation for bivariate functions

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