A NOTE ON REVERSES OF THE YOUNG TYPE INEQUALITIES VIA KANTOROVICH CONSTANT

被引：2

作者：

Nasiri, Leila ^{[1
]}

Shkalikov, Andrei A. ^{[2
]}

Shakoori, Mahmood ^{[3
]}

机构：

[1] Lorestan Univ, Fac Sci, Dept Math & Comp Sci, Khorramabad, Iran

[2] Lomonosov Moscow State Univ, Moscow, Russia

[3] Lorestan Univ, Fac Sci, Dept Math & Comp Sci, Khorramabad, Iran

来源：

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2018年 / 55卷 / 03期

关键词：

Reverse classical Young inequality; Hilbert- Schmidt norm; Positive definite matrices; Refinement; Kantorovich constant; OPERATOR INEQUALITIES; MEAN INEQUALITIES;

D O I：

10.1556/012.2018.55.3.1404

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In present paper, we give some new reverses of the Young type inequalities which were established by X. Hu and J. Xue [7] via Kantorovich constant. Then we apply these inequalities to establish corresponding inequalities for the Hilbert-Schmidt norm and the trace norm.

引用

页码：363 / 373

页数：11

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