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arXiv · 1811.04268

Lebesgue inequalities for Chebyshev Thresholding Greedy Algorithms

Pablo M. Berná·Oscar Blasco·Gustavo Garrigós·Eugenio Hernández·Timur Oikhberg
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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.

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Pablo M. Berná, Oscar Blasco, Gustavo Garrigós, Eugenio Hernández, Timur Oikhberg. 2018-11-10. Lebesgue inequalities for Chebyshev Thresholding Greedy Algorithms. https://arxiv.org/abs/1811.04268

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