Refined inequalities on the weighted logarithmic mean

DOI10.7153/JMI-2020-14-87zbMath1461.26014arXiv2001.01345OpenAlexW3114056761MaRDI QIDQ5858284

Nicuşor Minculete, Shigeru Furuichi

Publication date: 12 April 2021

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.01345

zbMATH Keywords

convex functionoperator inequalityHermite-Hadamard inequalityweighted logarithmic meanweighted identric mean

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Means (26E60) Convexity of real functions of several variables, generalizations (26B25)

Related Items (5)

Improvements of logarithmic and identric mean inequalities for scalars and operators ⋮ Mathematical inequalities on some weighted means ⋮ Improvements of the weighted Hermite-Hadamard inequality and applications to mean inequality ⋮ On weighted means and their inequalities ⋮ More results on weighted means

Cites Work

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• Means of positive linear operators
• Some remarks of the trapesoid rule in numerical integration
• Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
• A new class of operator monotone functions via operator means
• OSTROWSKI TYPE INEQUALITIES FOR FUNCTIONS WHOSE DERIVATIVES SATISFY CERTAIN CONVEXITY ASSUMPTIONS
• Advances in Mathematical Inequalities

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