A note on reverses of the young type inequalities via Kantorovich constant-Reference-Cited by-同舟云学术

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A note on reverses of the young type inequalities via Kantorovich constant

Published:2018-09 Issue:3 Volume:55 Page:363-373
ISSN:0081-6906
Container-title:Studia Scientiarum Mathematicarum Hungarica
language:
Short-container-title:Studia Scientiarum Mathematicarum Hungarica

Author:

Nasiri Leila¹,Shkalikov Andrei A.²,Shakoori Mahmood³

Affiliation:

1. 1 Department of Mathematics and computer science, Faculty of science, Lorestan University, Khorramabad, Iran

2. 2 Lomonosov Moscow State University, Moscow, Russia

3. 3 Department of Mathematics and computer science, Faculty of science, Lorestan University, Khorramabad, Iran

Abstract

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.

Publisher

Akademiai Kiado Zrt.

Subject

General Mathematics

Link

https://akademiai.com/doi/pdf/10.1556/012.2018.55.3.1404

Reference18 articles.

1. Reverses of Young type inequalities

2. Matrix Analysis

3. Positive Definite Functions and Operator Inequalities

4. Notes on matrix arithmetic–geometric mean inequalities

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Further refinement of Young’s type inequalities and its reversed using the Kantorovich constants;Filomat;2023

2. GENERALIZED KANTOROVICH CONSTANT, A NEW FORMULATION AND PROPERTIES;Issues of Analysis;2020-02

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