BCQ条件和广义限制域最佳一致逼近的特征  

BCQ CONDITION AND CHARACTERIZATION OF THE BEST UNIFORM APPROXIMATION WITH GENERALIZED RESTRICTIONS

作　　者：方东辉[1] 王仙云[2] 

机构地区：[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

出　　处：《系统科学与数学》2008年第10期1221-1229,共9页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(10271025);湖南省教育厅科研(05C143)资助项目

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.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.

关 键 词：最佳一致逼近 BCQ条件 次强内点条件 特征. 

分 类 号：O174.41[理学—数学] O17[理学—基础数学]