Further refinements of Alzer–Fonseca–Kovačec’s inequalities and applications

In this work, we give further refinements of one of the most important extensions to Young’s inequalities due to Alzer–Fonseca–Kovačec (Linear Multilinear Algebra 63(3):622–635, 2015). As applications, we show some related inequalities for operators and some refinements of Young-type inequalities for determinants of positive τ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\tau $$\end{document}-measurable operators.