On $M$-Term Approximations of the Nikol'skii-Besov Class in the Lorentz Spaces
Anal. Theory Appl., 33 (2017), pp. 267-286.
Published online: 2017-08
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@Article{ATA-33-267,
author = {G. Akishev},
title = {On $M$-Term Approximations of the Nikol'skii-Besov Class in the Lorentz Spaces},
journal = {Analysis in Theory and Applications},
year = {2017},
volume = {33},
number = {3},
pages = {267--286},
abstract = {
In this paper, we consider a Lorentz space with a mixed norm of periodic functions of many variables. We obtain the exact estimation of the best $M$-term approximations of Nikol'skii's and Besov's classes in the Lorentz space with the mixed norm.
}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2017.v33.n3.7}, url = {http://global-sci.org/intro/article_detail/ata/10517.html} }
TY - JOUR
T1 - On $M$-Term Approximations of the Nikol'skii-Besov Class in the Lorentz Spaces
AU - G. Akishev
JO - Analysis in Theory and Applications
VL - 3
SP - 267
EP - 286
PY - 2017
DA - 2017/08
SN - 33
DO - http://doi.org/10.4208/ata.2017.v33.n3.7
UR - https://global-sci.org/intro/article_detail/ata/10517.html
KW - Lorentz space, Besov's class, approximation.
AB -
In this paper, we consider a Lorentz space with a mixed norm of periodic functions of many variables. We obtain the exact estimation of the best $M$-term approximations of Nikol'skii's and Besov's classes in the Lorentz space with the mixed norm.
G. Akishev. (2017). On $M$-Term Approximations of the Nikol'skii-Besov Class in the Lorentz Spaces.
Analysis in Theory and Applications. 33 (3).
267-286.
doi:10.4208/ata.2017.v33.n3.7
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