On Faber-Schauder coefficients of continuous functions and divergence of greedy algorithm

DOI10.3103/S1066369X19050062zbMath1429.42035OpenAlexW2962041280MaRDI QIDQ2281436

Artsrun Sargsyan

Publication date: 19 December 2019

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

Full work available at URL: https://doi.org/10.3103/s1066369x19050062

zbMATH Keywords

uniform convergencegreedy algorithmFaber-Schauder systemcoefficients of expansion

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) General harmonic expansions, frames (42C15)

Related Items (1)

ON THE UNCONDITIONAL CONVERGENCE OF FABER--SCHAUDER SERIES IN $L^{1}$

Cites Work

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• Quasi-greedy system property of Faber-Schauder subsystems in \(C(0,1)\)
• On nonlinear approximation with respect to the Haar system and modifications of functions
• Nonlinear methods of approximation
• Some remarks on greedy algorithms
• Divergence of decreasing rearranged Fourier series
• Non-linear approximation of continuous functions by the Faber-Schauder system
• On the existence of almost greedy bases in Banach spaces
• REPRESENTATION OF FUNCTIONS BY SERIES AND CLASSES ϕ(L)
• Greedy algorithm for general biorthogonal systems

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