Some Results on Reverses of Cauchy-Schwarz Inequality in Inner Product Spaces  

作　　者：王公宝 马吉溥 

机构地区：[1]Department of Basic Courses, Naval University of Engineering, Wuhan, 430033 [2]Department of Mathematics, Nanjing University, Nanjing, 210093

出　　处：《Northeastern Mathematical Journal》2005年第2期207-211,共5页东北数学（英文版）

基　　金：The NNSF (10271053) of China and the Science Foundation (HGDJJ03001) of Naval University of Engineering.

摘　　要：Some new reverses of the Cauchy-Schwarz inequality in inner product spaces are presented in this paper. As an application of the main result, a formula for error estimate concerning Cauchy-Schwarz’s inequality is provided. The results obtained in the paper complement and improve some recent work about this topic.Some new reverses of the Cauchy-Schwarz inequality in inner product spaces are presented in this paper. As an application of the main result, a formula for error estimate concerning Cauchy-Schwarz's inequality is provided. The results obtained in the paper complement and improve some recent work about this topic.

关 键 词：inner product spaces Cauchy-Schwarz's inequality reverse inequality error estimate 

分 类 号：O177[理学—数学]