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

被引：0
作者：
Jie Zhang
Junliang Wu
机构：
[1] Chongqing University,College of Mathematics and Statistics
来源：
Journal of Inequalities and Applications | / 2017卷
关键词：
Young’s inequality; Kittaneh-Manasrah inequality; Kantorovich constant; operator inequality; progress; 15A15; 15A42; 15A60; 47A30;
D O I：
暂无
中图分类号：
学科分类号：
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.
引用
收藏
相关论文
共 24 条
[1]  
Kittaneh F(2010)Improved Young and Heinz inequalities for matrix J. Math. Anal. Appl. 361 262-269
[2]  
Manasrah Y(2011)Improved Young and Heinz inequalities for matrices Linear Multilinear Algebra 59 1031-1037
[3]  
Kittaneh F(2015)Operator inequalities involving improved Young and its reverse inequalities J. Math. Anal. Appl. 421 1779-1789
[4]  
Manasrah Y(2011)Refined Young inequalities with Specht’s ratio J. Egypt. Math. Soc. 20 46-49
[5]  
Zhao J(2002)Specht’s ratio in the Young inequality Sci. Math. Jpn. 55 583-588
[6]  
Wu J(2011)Refined Young inequality with Kantorovich constant J. Math. Inequal. 5 551-556
[7]  
Furuichi S(2014)Operator inequalities and reverse inequalities related to the Kittaneh-Manasrah inequalities Linear Multilinear Algebra 62 884-894
[8]  
Tominaga M(2015)New versions of reverse Young and Heinz mean inequalities with the Kantorovich constant Taiwan. J. Math. 19 467-479
[9]  
Zuo H(2015)Improved Young and Heinz inequalities with the Kantorovich constant J. Math. inequalities 10 559-570
[10]  
Shi G(2000)Matrix Young inequalities for the Hilbert-Schmidt norm Linear Algebra Appl. 308 77-84
123