Lebesgue inequalities for the greedy algorithm in general bases

We present various estimates for the Lebesgue type inequalities associated with the thresholding greedy algorithm, in the case of general bases in Banach spaces. We show the optimality of the involved constants in some situations. Our results recover and slightly improve various estimates appearing...

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Vydané v:	Revista matemática complutense Ročník 30; číslo 2; s. 369 - 392
Hlavní autori:	Berná, Pablo M., Blasco, Óscar, Garrigós, Gustavo
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Milan Springer Milan 01.05.2017 Springer Nature B.V
Predmet:	Algebra Analysis Applications of Mathematics Geometry Greedy algorithms Inequalities Mathematics Mathematics and Statistics Topology Quasi-greedy basis 41A46 46B15 Thresholding greedy algorithm Conditional basis 41A65
ISSN:	1139-1138, 1988-2807
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