各向同性Sobolev类S W_p^r(R^d)的平均宽度

Awergag Widths of the Isotropic Sobolev Classes SWp (Rd)

通过在上方估计中用指数型整函数作逼近工具，在下方估计中使用离散化的技巧，得到了各向同性Ｓｏｂｏｌｅｖ类ＳＷｒｐＲｄ在Ｌｐ（Ｒｄ）（１≤ｐ＜）中的平均σ－Ｋ宽度和平均σ－Ｌ宽度的弱渐近估计。

Some weak asymptotic results for average -K width and average -L width of the isotropic Sobolev classes in Lp()(1p<)are obtained by means of approximating by the classes of entire functions of exponential and using discretization skill.