On nonlinear approximation with respect to the Haar system and modifications of functions
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Publication:855112
DOI10.1007/s10476-006-0003-zzbMath1106.42021OpenAlexW2051369203MaRDI QIDQ855112
S. L. Gogyan, Martin G. Grigoryan
Publication date: 2 January 2007
Published in: Analysis Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10476-006-0003-z
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On behavior of Fourier coefficients by Walsh system ⋮ Behavior of the Fourier-Walsh coefficients of a corrected function ⋮ Universal functions in `correction' problems guaranteeing the convergence of Fourier-Walsh series ⋮ Luzin's correction theorem and the coefficients of Fourier expansions in the Faber-Schauder system ⋮ On the \(L^p\)-greedy universal functions with respect to the generalized Walsh system ⋮ On rearranged series by Haar system ⋮ Divergence of the greedy algorithm in the Faber-Schauder system on a continuum cardinality set ⋮ On Faber-Schauder coefficients of continuous functions and divergence of greedy algorithm ⋮ The strong \(L^{1}\)- greedy property of the Walsh system ⋮ On the absolute convergence of Fourier-Haar series in the metric of \(L^p(0, 1)\), \(0 < p < 1\) ⋮ Nonlinear approximation by the trigonometric system in weighted \(L_\mu^p\) spaces
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