Error Bounds of Two Smoothing Approximations for Semi-infinite Minimax Problems  

作　　者：Hong-xia Yin 

机构地区：[1]Department of Mathematics and Statistics, Minnesota State University Mankato, 273 Wissink Hall, Mankato, MN 56001, USA

出　　处：《Acta Mathematicae Applicatae Sinica》2009年第4期685-696,共12页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(No.10671203,No.70621001) and the faculty research grant at MSU

摘　　要：In the paper we investigate smoothing method for solving semi-infinite minimax problems. Not like most of the literature in semi-infinite minimax problems which are concerned with the continuous time version（i.e., the one dimensional semi-infinite minimax problems）, the primary focus of this paper is on multi- dimensional semi-infinite minimax problems. The global error bounds of two smoothing approximations for the objective function are given and compared. It is proved that the smoothing approximation given in this paper can provide a better error bound than the existing one in literature.In the paper we investigate smoothing method for solving semi-infinite minimax problems. Not like most of the literature in semi-infinite minimax problems which are concerned with the continuous time version（i.e., the one dimensional semi-infinite minimax problems）, the primary focus of this paper is on multi- dimensional semi-infinite minimax problems. The global error bounds of two smoothing approximations for the objective function are given and compared. It is proved that the smoothing approximation given in this paper can provide a better error bound than the existing one in literature.

关 键 词：Semi-infinite minimax problem smoothing method aggregate function error bound polynomial interpolation 

分 类 号：O175.8[理学—数学]