REFINEMENTS OF THE FAN-TODD'S INEQUALITIES

作     者：K. K. CHONG Department of Applied Mathematics, The Hong Kong Polytechnic University Hong Kong, China. E-mail:makkchon@inet.po1yu.edu.hk 

作者机构：Department of Applied Mathematics The Hong Kong Polytechnic University Hong Kong China 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2002年第23卷第1期

页      面：75-84页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Cauchy's inequality Bessel's inequality Fan-Todd's inequality Fan-Todd's determinantal inequality Refinements of inequalities 

摘      要：Refinements to inequalities on inner product spaces are presented. In this respect, inequali-ties dealt with in this paper are: Cauchy’s inequality, Bessel’s inequality, Fan-Todd’s inequality and Fan-Todd’s determinantal inequality. In each case, a strictly increasing function is put for-ward, which lies between the smaller and the larger quantities of each inequality. As a result. an improved condition for equality of the Fan-Todd’s determinantal inequality is deduced.