New progress on the operator inequalities involving improved Young’s and its reverse inequalities relating to the Kantorovich constant

Journal of inequalities and applications

Jie Zhang¹ 

关键词: Young’s inequality;    Kittaneh-Manasrah inequality;    Kantorovich constant;    operator inequality;    progress;    15A15;    15A42;    15A60;    47A30;   

DOI  :  10.1186/s13660-017-1344-9

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The purpose of this paper is to give a survey of the progress, advantages and limitations of various operator inequalities involving improved Young’s and its reverse inequalities related to the Kittaneh-Manasrah inequality. We also present our new progress to the related research topics. New scalar versions of Young’s inequalities are promoted, the operator version and the Hilbert-Schmidt form also get a promotion.

【 授权许可】

CC BY