函数类(?)_∞~r在Orlicz空间内的n宽度

On n-Widths of Function Class (?)r(?) in Orlicz Spaces

讨论了由非退化的全正核K(x,y)和具有特定性质的函数系{ki(x)}ri=1所确定的某一函数类 (?)∞在Orlicz空间内的n-K宽度,n-G宽度,n-L宽度的精确估计问题.

In this paper we discuss the n-Widths of function class , determined by nondegenerate totally positive kernel K(.x,y) and function system {ki(x)}i=i which possess special properties in Orlicz spaces.