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

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.