Refinements of some numerical radius inequalities for Hilbert space operators

被引：3
作者：
Rashid, Mohammad H. M. [1 ]
机构：
[1] Fac Sci, Dept Math & Stat, POB 7, Mutah, Jordan
来源：
TAMKANG JOURNAL OF MATHEMATICS | 2023年 / 54卷 / 02期
关键词：
Numerical radius; convex function operator; Mixed Schwarz inequality; Furuta inequality; Young inequality; LINEAR-OPERATORS;
D O I：
10.5556/j.tkjm.54.2023.4061
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Some power inequalities for the numerical radius based on the recent Dragomir extension of Furuta's inequality are established. Some particular cases are also provided. Moreover, we get an improvement of the Ho center dot lder-McCarthy operator inequality in the case when r >= 1 and refine generalized inequalities involving powers of the numerical radius for sums and products of Hilbert space operators.
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收藏
页码：155 / 173
页数：19
相关论文
共 21 条
[1]   A generalization of two refined Young inequalities [J].
Al-Manasrah, Yousef ;
Kittaneh, Fuad .
POSITIVITY, 2015, 19 (04) :757-768
[2]  
Dragomir SS, 2008, TAMKANG J MATH, V39, P1
[3]   Some Inequalities Generalizing Kato's and Furuta's Results [J].
Dragomir, S. S. .
FILOMAT, 2014, 28 (01) :179-195
[4]  
DRAGOMIR S. S., 2009, Sarajevo J. Math, V5, P269, DOI DOI 10.5644/SJM.05.2.10
[5]   Reverse inequalities for the numerical radius of linear operators in Hilbert spaces [J].
Dragomir, SS .
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2006, 73 (02) :255-262
[6]   Numerical radius inequalities for Hilbert space operators. II [J].
El-Haddad, Mohammad ;
Kittaneh, Fuad .
STUDIA MATHEMATICA, 2007, 182 (02) :133-140
[7]   AN EXTENSION OF THE HEINZ-KATO THEOREM [J].
FURUTA, T .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 120 (03) :785-787
[8]   SOME REFINEMENTS OF THE NUMERICAL RADIUS INEQUALITIES VIA YOUNG INEQUALITY [J].
Heydarbeygi, Z. ;
Amyari, M. .
KRAGUJEVAC JOURNAL OF MATHEMATICS, 2021, 45 (02) :191-202
[9]  
Kato T., 1952, Math. Ann, V125, P208, DOI [10.1007/bf01343117, DOI 10.1007/BF01343117]
[10]   Operator Jensen inequality for superquadratic functions [J].
Kian, Mohsen .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2014, 456 :82-87
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