The WCGA in Lp(logL)α Spaces

We present some new results concerning Lebesgue-type inequalities for the Weak Chebyshev Greedy Algorithm (WCGA) in uniformly smooth Banach spaces X . First, we generalize Temlyakov’s theorem (Temlyakov in Forum Math Sigma 2(12):26, 2014) to cover situations in which the modulus of smoothness and th...

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Bibliographic Details
Published in:	Constructive approximation Vol. 61; no. 1; pp. 115 - 147
Main Author:	Garrigós, Gustavo
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.02.2025 Springer Nature B.V
Subjects:	Algorithms Analysis Approximation Banach spaces Chebyshev approximation Dictionaries Greedy algorithms Mathematics Mathematics and Statistics Numerical Analysis Smoothness Theorems 41A46 46B15 Trigonometric system 41A25 Non-linear approximation 46E30 Uniformly smooth Banach space 41A65 Greedy algorithm 46B20 Orlicz space Haar system
ISSN:	0176-4276, 1432-0940
Online Access:	Get full text
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