Geodesic
The rate of convergence of weak greedy approximations over orthogonal dictionaries
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2017), pp. 68-72

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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. 
@article{VMUMM_2017_2_a12,
     author = {A. S. Orlova},
     title = {The rate of convergence of weak greedy approximations over orthogonal dictionaries},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {68--72},
     publisher = {mathdoc},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2017_2_a12/}
}
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A. S. Orlova. The rate of convergence of weak greedy approximations over orthogonal dictionaries. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2017), pp. 68-72. http://geodesic.mathdoc.fr/item/VMUMM_2017_2_a12/