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BCQ条件和广义限制域最佳一致逼近的特征
引用本文:方东辉,王仙云.BCQ条件和广义限制域最佳一致逼近的特征[J].系统科学与数学,2008,28(10):1221-1229.
作者姓名:方东辉  王仙云
作者单位:1. 浙江大学数学系,杭州,310027
2. 吉首大学数学与计算机科学学院,吉首,416000
基金项目:国家自然科学基金,湖南省教育厅科研
摘    要:研究了广义限制域的最佳一致逼近问题,在允许有有限个节点的情况下,引入次强内点条件的概念,并将优化理论中的BCQ条件等概念应用到本文所研究的问题中,刻划了次强内点条件、BCQ条件和最佳一致逼近的特征之间的关系.

关 键 词:最佳一致逼近  BCQ条件  次强内点条件  特征
收稿时间:2006-10-19

BCQ Condition and Characterization of the Best Uniform Approximation with Generalized Restrictions
FANG Donghui,WANG Xianyun.BCQ Condition and Characterization of the Best Uniform Approximation with Generalized Restrictions[J].Journal of Systems Science and Mathematical Sciences,2008,28(10):1221-1229.
Authors:FANG Donghui  WANG Xianyun
Institution:(1)Department of Mathematics, Zhejing University, Hangzhou 310027; (2)College of Mathematics and Computer Sciences, Jishou University, Jishou 416000.
Abstract:The problem of the best uniform approximation with generalized restrictions is investigated. Under the assumption that l and u have finite intersection points,by introducing the concepts of the sub-strong interior point condition and making use of the BCQ condition from optimization theory, we study the relationship between the sub-strong interior point condition, BCQ condition and the characterization of the best uniform approximation with generalized restrictions.
Keywords:The best uniform approximation  BCQ condition  sub-strong interior point condition  characterization  
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