TY - JOUR
T1 - On Approximation of Function Classes in Lorentz Spaces with Anisotropic Norm
AU - G. Akishev
JO - Analysis in Theory and Applications
VL - 4
SP - 358
EP - 372
PY - 2013
DA - 2013/11
SN - 29
DO - http://doi.org/10.4208/ata.2013.v29.n4.5
UR - https://global-sci.org/intro/article_detail/ata/4530.html
KW - Lorentz space, Besov's class, approximation.
AB - <p style="text-align: justify;">In this paper, Lorentz space of functions of several variables and Besov&#39;s class are considered. We establish an exact approximation order of Besov&#39;s class by partial sums of Fourier&#39;s series for multiple trigonometric system.</p>