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 - <p style="text-align: justify;">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&#39;skii&#39;s and Besov&#39;s classes in the Lorentz space with the mixed norm.</p>