Sharp sufficient condition for the convergence of greedy expansions with errors in coefficient computation

DOI10.1515/dema-2022-0019OpenAlexW4285211535MaRDI QIDQ2162664

Artur R. Valiullin, Albert R. Valiullin, Alexei P. Solodov

Publication date: 8 August 2022

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2022-0019

zbMATH Keywords

convergenceHilbert spacegreedy expansionprescribed coefficientsgreedy approximation

Mathematics Subject Classification ID

Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Approximations and expansions (41-XX)

Cites Work

• Greedy expansions in Banach spaces
• Greedy algorithms with prescribed coefficients
• Greedy expansions with prescribed coefficients in Hilbert spaces
• Weak greedy algorithms
• Sharp conditions for the convergence of greedy expansions with prescribed coefficients
• Generalized approximate weak greedy algorithms
• Matching pursuits with time-frequency dictionaries
• Approximate weak greedy algorithms

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