TY - JOUR T1 - On Approximation of Function Classes in Lorentz Spaces with Anisotropic Norm 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 -

In this paper, Lorentz space of functions of several variables and Besov's class are considered. We establish an exact approximation order of Besov's class by partial sums of Fourier's series for multiple trigonometric system.