Operator iteration on the Young inequality

Journal of inequalities and applications

Xianhe Zhao¹ 

关键词: operator iteration;    Young inequality;    arithmetic-geometric means;    Kantorovich constant;    47A30;    47A63;   

DOI  :  10.1186/s13660-016-1249-z

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we employ iteration on operator version of the famous Young inequality and obtain more arithmetic-geometric mean inequalities and the reverse versions for positive operators. Concretely, we obtain refined Young inequalities with the Kantorovich constant, the reverse ratio type and difference type inequalities for arithmetic-geometric operator mean under different conditions.

【 授权许可】

CC BY