Modifications of functions, Fourier coefficients and nonlinear approximation

DOI10.1070/SM2012v203n03ABEH004226zbMath1246.42024OpenAlexW1993815406MaRDI QIDQ2901886

Martin G. Grigoryan

Publication date: 31 July 2012

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2012v203n03abeh004226

zbMATH Keywords

greedy algorithmFourier coefficientsnonlinear approximationcorrection of functions

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Other transformations of harmonic type (42C20)

Related Items (11)

On behavior of Fourier coefficients by Walsh system ⋮ Behavior of the Fourier-Walsh coefficients of a corrected function ⋮ On the L1-convergence and behavior of coefficients of Fourier-Vilenkin series ⋮ Nonlinear approximation of functions from the class \(L^r\) with respect to the Vilenkin system ⋮ On the \(L^p\)-greedy universal functions with respect to the generalized Walsh system ⋮ On the Convergence of Bochner-Riesz’s Spherical Means of Fourier Double Integrals ⋮ Application of negative order Cesàro summability methods to Fourier–Walsh series of functions from $L^{\infty }[0, 1$] ⋮ On the absolute convergence of Fourier-Haar series in the metric of \(L^p(0, 1)\), \(0 < p < 1\) ⋮ Menshov type correction theorems for sequences of compact operators ⋮ Almost everywhere convergence of greedy algorithm with respect to Vilenkin system ⋮ Nonlinear approximation by the trigonometric system in weighted \(L_\mu^p\) spaces

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