On M–Term Approximations of the Nikol'skii–Besov Class in the Lorentz Spaces  

作　　者：G.Akishev 

机构地区：[1]Departament of Mathematics and Information Technology,Buketov Karaganda State University,Karaganda,100028,Republic Kazakhstan [2]Institute of Mathematics and Computer Science,Ural Federal University,Yekaterinburg,620002,Russian Federation

出　　处：《Analysis in Theory and Applications》2017年第3期267-286,共20页分析理论与应用（英文刊）

基　　金：supported by the Ministry of Education and Science of Republic Kazakhstan(Grant No.5129/GF4);partially by the Russian Academic Excellence Project(agreement between the Ministry of Education and Science of the Russian Federation and Ural Federal University No.02.A03.21.006 of August 27,2013)

摘　　要：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.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.

关 键 词：Lorentz space Besov＇s class approximation. 

分 类 号：O177[理学—数学]