Greedy approximation with regard to non-greedy bases |
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| Authors: | V N Temlyakov Mingrui Yang Peixin Ye |
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| Institution: | (2) Department of Mathmatical Science and Applied Computing, Arizona State University, Phoenix, AZ, USA;(3) Department of Computer Science, University of Texas at Dallas, Richardson, TX, USA; |
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| Abstract: | The main goal of this paper is to understand which properties of a basis are important for certain direct and inverse theorems
in nonlinear approximation. We study greedy approximation with regard to bases with different properties. We consider bases
that are tensor products of univariate greedy bases. Some results known for unconditional bases are extended to the case of
quasi-greedy bases. |
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| Keywords: | |
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