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

10.22075/ijnaa.2024.33479.4991

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

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[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.

Articles in Press, Corrected Proof
Available Online from 09 October 2024
  • Receive Date: 08 March 2024
  • Accept Date: 30 April 2024