Improvements of the weighted Hermite-Hadamard inequality and applications to mean inequality

DOI10.7153/jmi-2023-17-50arXiv2212.14796OpenAlexW4384078682MaRDI QIDQ6175650

Shigeru Furuichi, Nicuşor Minculete, Hamid Reza Moradi

Publication date: 24 July 2023

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

Full work available at URL: https://arxiv.org/abs/2212.14796

zbMATH Keywords

convex functionHermite-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)

Cites Work

• Unnamed Item
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• Bounds for the normalised Jensen functional
• A Refinement of the Arithmetic Mean-Geometric Mean Inequality
• New inequalities for interpolational operator means
• Advances in Mathematical Inequalities
• Refined inequalities on the weighted logarithmic mean
• Convex functions and their applications. A contemporary approach
• Mathematical inequalities on some weighted means

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