On The Operator Hermite--Hadamard Inequality

2019/08/03 by Moradi, Hamid Reza, Sababheh, Mohammad, Furuichi, Shigeru
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1908.01132

Abstract

The main target of this paper is to discuss operator Hermite--Hadamard inequality for convex functions, without appealing to operator convexity. Several forms of this inequality will be presented and some applications including norm and mean inequalities will be shown too.

Related

• Hermite-Hadamard type inequalities for operator geometrically convex functions II
• Hermite-Hadamard type inequalities for operator geometrically convex functions
• A Systematic Review on Hermite-Hadamard Inequality: Theory and\n Applications
• On a convexity property
• On Hermite-Hadamard Type Inequalities Via h-Convexity with Applications\n in Special Means