New versions of refinements and reverses of Young-type inequalities with the Kantorovich constant-Reference-Cited by-同舟云学术

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

Published:2023-01-01 Issue:1 Volume:11 Page:
ISSN:2300-7451
Container-title:Special Matrices
language:en
Short-container-title:

Author:

Rashid Mohammad H. M.¹,Bani-Ahmad Feras²

Affiliation:

1. Department of Mathematics, Faculty of Science, P.O. Box (7), Mu’tah University , Al-Karak , Jordan

2. Department of Mathematics, Faculty of Science, The Hashemite University, P.O. Box 330127 , Zarqa 13133 , Jordan

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology,Algebra and Number Theory

Link

https://www.degruyter.com/document/doi/10.1515/spma-2022-0180/pdf

Reference27 articles.

1. H. Alzer and M. K. Kwong, On Young’s inequality, J. Math. Anal. Appl. 469 (2019), no. 2, 480–492.

2. H. Alzer, C. M. da Fonseca, and A. Kovačec, Young-type inequalities and their matrix analogues, Linear Multilinear Algebra 63 (2015), no. 3, 622–635.

3. M. Bakherad, M. Krnic, and M. Moslehian, Reverse Young-type inequalities for matrices and operators, Rocky Mountain J. Math. 46 (2016), no. 4, 1089–1105.

4. R. Bhatia, Matrix Analysis, Springer-Verlag, New York, 1997.

5. A. Burqan and M. Khandaqji, Reverses of Young type inequalities, J. Math. Inequal. 9 (2015), no. 1, 113–120.

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