Szasz不等式在亚正定矩阵和拟广义正定矩阵上的推广  

The Generalizations of Szasz′s inequality for Meta-positive Definite Matrix and Similar Generalized Positive Definite Matrix

作　　者：李衍禧[1] 

机构地区：[1]潍坊学院数学与信息科学学院,山东潍坊261061

出　　处：《数学的实践与认识》2009年第11期160-163,共4页Mathematics in Practice and Theory

基　　金：潍坊学院自然科学基金(2008z12)

摘　　要：实对称正定矩阵的Szasz不等式是Hadamard不等式的加细;本文将Szasz不等式推广到一类亚正定矩阵和拟广义正定矩阵上去,从而推广了关于实对称正定矩阵的Szasz不等式和Hadamard不等式.Szasz＇s inequality for symmetric positive definite matrix is the isolation of Hadamard＇s inequality; In this paper, the generalizations of Szasz＇s inequality for one type of recta-positive definite matrix and similar generalized positive definite matrix are obtained, therefore Szasz＇s inequality and Hadamard＇s inequality for symmetric positive definite matrix are generalized.

关 键 词：主子式 Szasz不等式 亚正定矩阵 拟广义正定矩阵 

分 类 号：O151.21[理学—数学]