New versions of refinements and reverses of Young-type inequalities with the Kantorovich constant

被引：3
作者：
Rashid, Mohammad H. M. [1 ]
Bani-Ahmad, Feras [2 ]
机构：
[1] Mutah Univ, Fac Sci, Dept Math, POB 7, Al Karak, Jordan
[2] Hashemite Univ, Fac Sci, Dept Math, POB 330127, Zarqa 13133, Jordan
来源：
SPECIAL MATRICES | 2023年 / 11卷 / 01期
关键词：
Young inequality; Kantorovich constant; operator inequality; operator means; arithmetic-geometric-harmonic mean inequality; OPERATOR INEQUALITIES; HEINZ INEQUALITIES;
D O I：
10.1515/spma-2022-0180
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Recently, some Young-type inequalities have been promoted. The purpose of this article is to give further refinements and reverses to them with Kantorovich constants. Simultaneously, according to the scalar result, we have obtained some corresponding operator inequalities and matrix versions, including Hilbert-Schmidt norm, unitary invariant norm, and trace norm can be regarded as Scalar inequality.
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页数：23
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