正线性算子的Young型逆不等式的一个改进  

ON REFINED YOUNG’S REVERSE INEQUALITIES FOR POSITIVE LINEAR OPERATORS

作　　者：曹海松 CAO Hai-song(School of Mathematics and Statistics,North China University of Water Resources and Electric Power,Zhengzhou 450045,China)

机构地区：[1]华北水利水电大学数学与统计学院,河南郑州450045

出　　处：《数学杂志》2022年第1期9-13,共5页Journal of Mathematics

摘　　要：本文研究了正线性算子的Young型逆不等式的问题.利用算子单调函数以及凸函数的性质,获得了若干带有Kantorovich常数的Young型逆不等式标量形式及相对应的正线性算子的Young型逆不等式的改进形式,推广了现有文献中的结论.In this paper,the inverse inequalities of Young for positive linear operators are studied.By using the properties of operators’monotone function and convex function,we obtained some improved scalar versions and corresponding operator versions of Young’s inverse inequality with Kantorovich constant,which generalize the conclusions in the literature.

关 键 词：Young型逆不等式 正线性算子 Kantorovich常数 

分 类 号：O151.21[理学—数学]