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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017 Number 2, Pages 68–72 (Mi vmumm62)

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The rate of convergence of weak greedy approximations over orthogonal dictionaries

A. S. Orlova

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: Convergence rate of weak orthogonal greedy algorithm is studied for the subspace $\ell^1\subset\ell^2$ and orthogonal dictionaries. It is shown that general results on convergence rate of weak orthogonal greedy algorithms can be essentially improved in the studied case. It is also shown that this improvement is asymptotically sharp.

Key words: weak orthogonal greedy algorithm, orthogonal system, convergence rate.

UDC: 517.518.36

Received: 28.09.2016


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2017, 72:2, 84–87

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