Lebesgue inequalities for Chebyshev Thresholding Greedy Algorithms
Functional Analysis
2018-11-13 v1
Abstract
We establish estimates for the Lebesgue parameters of the Chebyshev Weak Thresholding Greedy Algorithm in the case of general bases in Banach spaces. These generalize and slightly improve earlier results in [9], and are complemented with examples showing the optimality of the bounds. Our results also correct certain bounds recently announced in [18], and answer some questions left open in that paper.
Keywords
Cite
@article{arxiv.1811.04268,
title = {Lebesgue inequalities for Chebyshev Thresholding Greedy Algorithms},
author = {Pablo M. Berná and Oscar Blasco and Gustavo Garrigós and Eugenio Hernández and Timur Oikhberg},
journal= {arXiv preprint arXiv:1811.04268},
year = {2018}
}