Lebesgue inequalities for the greedy algorithm in general bases
Autor: | Oscar Blasco, Pablo M. Berná, Gustavo Garrigós |
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Rok vydání: | 2017 |
Předmět: |
Discrete mathematics
Mathematics::Functional Analysis General Mathematics 010102 general mathematics Banach space 010103 numerical & computational mathematics Type (model theory) Lebesgue integration 01 natural sciences Thresholding Functional Analysis (math.FA) Mathematics - Functional Analysis symbols.namesake FOS: Mathematics symbols 0101 mathematics Algebra over a field Greedy algorithm Topology (chemistry) Mathematics |
Zdroj: | Revista Matemática Complutense. 30:369-392 |
ISSN: | 1988-2807 1139-1138 |
DOI: | 10.1007/s13163-017-0221-x |
Popis: | We present various estimates for the Lebesgue constants of the thresholding greedy algorithm, in the case of general bases in Banach spaces. We show the optimality of these estimates in some situations. Our results recover and slightly improve various estimates appearing earlier in the literature. Comment: 21 pages |
Databáze: | OpenAIRE |
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