MULTIPLE-TERM REFINEMENTS OF ALZER–FONSECA–KOVAČEC INEQUALITIES

Mohamed Amine Ighachane

doi:10.1216/rmj.2022.52.2053

Abstract

By the weighted arithmetic-geometric mean inequality we present multiple-term refinements of one of the most important extensions to Young’s inequalities due to Alzer, Fonseca and Kovačec (Linear Multilinear Algebra 63(3) (2015), 622–635). As applications, we give some related inequalities for operators and matrices.

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Mohamed Amine Ighachane. "MULTIPLE-TERM REFINEMENTS OF ALZER–FONSECA–KOVAČEC INEQUALITIES." Rocky Mountain J. Math. 52 (6) 2053 - 2070, December 2022. https://doi.org/10.1216/rmj.2022.52.2053

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Received: 13 March 2021; Revised: 4 December 2021; Accepted: 27 January 2022; Published: December 2022

First available in Project Euclid: 28 December 2022

MathSciNet: MR4527009

zbMATH: 1505.15016

Digital Object Identifier: 10.1216/rmj.2022.52.2053

Subjects:

Primary: 15A45 , 15A60 , 47A63

Secondary: 26D07

Keywords: Alzer–Fonseca–Kovačec inequalities , AM-GM inequality , determinants , Norms , Operator inequalities , Traces , Young’s inequality

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