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arXiv · 2309.14607

Approximation by polynomials with constant coefficients and the Thresholding Greedy Algorithm

Miguel Berasategui·Pablo M. Berná·David González
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Abstract

Greedy bases are those bases where the Thresholding Greedy Algorithm (introduced by S. V. Konyagin and V. N. Temlyakov) produces the best possible approximation up to a constant. In 2017, Bern\'a and Blasco gave a characterization of these bases using polynomials with constant coefficients. In this paper, we continue this study improving some optimization problems and extending some results to the context of quasi-Banach spaces.

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Miguel Berasategui, Pablo M. Berná, David González. 2023-09-26. Approximation by polynomials with constant coefficients and the Thresholding Greedy Algorithm. https://arxiv.org/abs/2309.14607

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