International Journal of Nonlinear Analysis and Applications
New progress on refinements Young type inequalities with Kantorovich constant
Document Type : Research Paper
Authors
Department of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan, Iran
Abstract
In this article, we introduce refinements of Young-type inequalities for scalars. We then extend these inequalities to encompass versions based on Hilbert-Schmidt and trace norms. The results presented in this paper represent refinements of the findings originally established by Nasiri and Shakoori [6].
Keywords
[1] R. Bhatia, Matrix Analysis, Springer Verlag, New York, 1996.
[2] X. Hu, Young type inequalities for matrices, J. East China Norm Univ. 4 (2012), 12–17.
[3] L. Nasiri, M. Shakoori, and W. Liao, A note on Young type inequalities, Int. J. Nonlinear Anal. Appl. 8 (2017), no. 1, 261–267.
[4] J.L. Wu and J.G. Zhao, Operator inequalities and reverse inequalities related to the Kittaneh–Manasrah inequalities, Linear Multilinear Algeb. 62 (2013), 894–884.
[5] H. Zuo, G. Shi, and M. Fujii, Refined Young inequality with Kantorovich constant, J. Math. Inequal. 5 (2011), 551–556.
[6] L. Nasiri and M. Shakoori, A note on improved Young type inequalities with Kantorovich constant, J. Math. Statist. 12 (2016), no. 3, 201–205.
[7] J. Zhang and J. Wu, New progress on the operator inequalities involving improved Young’s and its reverse inequalities relating to the Kantorovich constant, J. Inequal Appl. 2017 (2017), 1–16.
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Volume 16, Issue 8
August 2025Pages 65-72
- Receive Date: 08 March 2024
- Accept Date: 30 April 2024