某可微函数类在Orlicz空间内的宽度估计

On n-Widths of Certain Function Classes in Orlicz Spaces

本文首先研究了r阶广义样条类在Orlicz空间内的极值问题，由此进一步考虑了光滑函数类Ω∞^r[0，1]在Orlicz空间内的佗宽度的精确估计问题．最后还讨论了相应的对偶情形．

This paper deals with the extremal problems of general spline classes which degree of r in Orlicz spaces. Based on this, we further study the problems of precisely estimation on n-Widths of smoothness function classes Ω∞^r[0,1] in Orlicz spaces. Moreover, we discuss the problems of corresponding dual cases.