APPROXIMATION PROBLEMS ON THE SMOOTHNESS CLASSES  

作　　者：Yongping LIU Man LU 刘永平;陆曼(School of Mathematical Sciences,Beijing Normal University,Beijing,100875,China)

机构地区：[1]School of Mathematical Sciences,Beijing Normal University,Beijing,100875,China

出　　处：《Acta Mathematica Scientia》2024年第5期1721-1734,共14页数学物理学报（B辑英文版）

基　　金：supported by National Natural Science Foundation of China(11871006).

摘　　要：This paper investigates the relative Kolmogorov n-widths of 2π-periodic smooth classes in■.We estimate the relative widths of■and its generalized class K_(p)■(P_(r)),where K_(p)H^(ω)(Pr)is defined by a self-conjugate differential operator P_(r)(D)induced by■Also,the modulus of continuity of the r-th derivative,or r-th self-conjugate differential,does not exceed a given modulus of continuityω.Then we obtain the asymptotic results,especially for the case p=∞,1≤q≤∞.

关 键 词：relative width self-conjugate differential operator asymptotic estimate 

分 类 号：O177[理学—数学]