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arxiv: 1111.0460 · v2 · pith:3RGXET5Snew · submitted 2011-11-02 · 🧮 math.FA

Lebesgue-Type inequalities for quasi-greedy bases

classification 🧮 math.FA
keywords quasi-greedybasesconstanterroralgorithmapproximationbanachbasis
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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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