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Lebesgue-Type inequalities for quasi-greedy bases

Published 2 Nov 2011 in math.FA | (1111.0460v2)

Abstract: 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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