Lebesgue-Type inequalities for quasi-greedy bases

Details Lebesgue-Type inequalities for quasi-greedy bases Lebesgue-Type inequalities for quasi-greedy bases

2011-11-02

arxiv.org/abs/1111.0460v2

Mathematics

Functional Analysis

8 pages

Scientific paper

We show that for quasi-greedy bases in real Banach spaces the error of the
thresholding greedy algorithm of order N is bounded by the best N-term error of
approximation times a constant which depends on the democracy functions and the
quasi-greedy constant of the basis.

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