Geodesic
On the Coincidence of Pure Greedy and Best $m$-Term Approximations
Matematičeskie zametki, Tome 111 (2022) no. 2, pp. 202-210

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We obtain conditions on a dictionary in a Hilbert space that are necessary or sufficient for the coincidence of pure greedy and best $m$-term approximations.
Keywords: greedy approximation, $m$-term approximation, coherence parameter, Hilbert space. 
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     author = {K. S. Vishnevetskiy},
     title = {On the {Coincidence} of {Pure} {Greedy} and {Best} $m${-Term} {Approximations}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {202--210},
     publisher = {mathdoc},
     volume = {111},
     number = {2},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2022_111_2_a2/}
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K. S. Vishnevetskiy. On the Coincidence of Pure Greedy and Best $m$-Term Approximations. Matematičeskie zametki, Tome 111 (2022) no. 2, pp. 202-210. http://geodesic.mathdoc.fr/item/MZM_2022_111_2_a2/