摘要
研究了Cr([0,1])空间赋以满足Sacks-Ylvisaker正则条件的Gauss测度在空间Lq([0,1])(1≤q≤+∞)中的平均线性n-宽度,通过利用再生核Hilbert空间的性质,以及Kolmogorovn-宽度和线性n-宽度之间的关系,得到了上述平均线性n-宽度的渐近阶.
It was studied the linear average n-widths in Lq-norm （ 1 ≤ q ≤ ＋ ∞） of the space Cr （ [ O, 1 ] ） equipped with the Gaussian measure which satisfied Sacks-Ylvisaker regularity conditions. Using the properties of the reproducing kernel Hilbert spaces and the relation between the Kolmogorov n-widths and the linear n- widths, the asymptotic order of the linear average n-widths was obtained.
出处
《浙江师范大学学报（自然科学版）》
CAS
2009年第1期24-27,共4页
Journal of Zhejiang Normal University:Natural Sciences
基金
浙江省教育厅项目(20070436)
