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Volume 33, Issue 3
On $M$-Term Approximations of the Nikol'skii-Besov Class in the Lorentz Spaces

G. Akishev

Anal. Theory Appl., 33 (2017), pp. 267-286.

Published online: 2017-08

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  • 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.

  • AMS Subject Headings

41A10, 41A25

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COPYRIGHT: © Global Science Press

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@Article{ATA-33-267, author = {}, 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 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. (1970). 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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