无穷维序列空间的非线性宽度
Nonlinear Width of an Infinite-Dimensional Sequence Space
摘要: 本文研究无穷维序列空间在一致框架下的非线性manifold n-宽度δn(w,x),并得到其精确渐进估计,即当1≤p,q≤∞时,Bp,r表示lp,r中的单位球。
Abstract: In this paper, we study the nonlinear n-width δn(w,x) of infinite dimensional sequence spaces under consistent framework and obtain its accurate asymptotic estimates. That is when 1≤p,q≤∞. Bp,r is the unit sphere in the representation lp,r.
文章引用:贺小航, 赵家锐. 无穷维序列空间的非线性宽度[J]. 应用数学进展, 2021, 10(4): 871-877. https://doi.org/10.12677/AAM.2021.104095

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