Probabilistic linear widths of Sobolev space with Jacobi weights on [-1,1]

被引：0

作者：

Zhai, Xuebo ^{[1
]}

Hu, Xiuyan ^{[1
]}

机构：

[1] Zaozhuang Univ, Sch Math & Stat, Zaozhuang 277160, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2017年

基金：

中国国家自然科学基金; 北京市自然科学基金;

关键词：

probabilistic linear widths; Jacobi weights; weighted Sobolev classes; Gaussian measure;

D O I：

10.1186/s13660-017-1540-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Optimal asymptotic orders of the probabilistic linear (n, delta)-widths of lambda(n,delta)(W'(2,alpha,beta), nu, L-q,L-alpha,L-beta) of the weighted Sobolev space W'(2,alpha,beta) equipped with a Gaussian measure. are established, where L-q,L-alpha,L-beta, 1 <= q <= infinity, denotes the L-q space on [-1, 1] with respect to the measure (1-x)(alpha)(1 + x)(beta), alpha, beta > -1/2.

引用

页数：17

共 19 条

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