@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} }