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THE N-WIDTHS FOR A GENERALIZED PERIODIC BESOV CLASSES
作者姓名:许贵桥
作者单位:Department of Mathematics, Tianjin Normal University, Tianjin 300074, China
基金项目:国家自然科学基金,天津大学校科研和教改项目,天津师范大学校科研和教改项目
摘    要:In this paper, an extension of Besov classes of periodic functions on Td is given. The weak asymptotic results concerning the Kolmogorov n-widths, the linear n-widths, and the Gel'fand n-widths are obtained, respectively.

关 键 词:周期函数  n宽度  Besov空间  弱渐进线  微分函数
收稿时间:2003-05-20
修稿时间:2004-05-26

THE N-WIDTHS FOR A GENERALIZED PERIODIC BESOV CLASSES
Xu Guiqiao.THE N-WIDTHS FOR A GENERALIZED PERIODIC BESOV CLASSES[J].Acta Mathematica Scientia,2005,25(4):663-671.
Authors:Xu Guiqiao
Institution:1. Facultad de Ciencias Físico-Matemáticas, Universidad Michoacana, Morelia 58060, Mexico;2. Instituto de Ciencias Matemáticas (ICMAT) and Departamento de Matemáticas, Universidad Carlos III de Madrid, Leganés 28911, Spain
Abstract:In this paper, an extension of Besov classes of periodic functions on Td is given. The weak asymptotic results concerning the Kolmogorov n-widths, the linear nwidths, and the Gel'fand n-widths are obtained, respectively.
Keywords:Generalized Besov classes  approximation  n-widths
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