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

Shigeru Furuichi; Nicuşor Minculete; Hamid Reza Moradi

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arXiv · 2212.14796

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

Shigeru Furuichi·Nicuşor Minculete·Hamid Reza Moradi

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Abstract

This paper aims to characterize the function appearing in the weighted Hermite-Hadamard inequality. We provide improved inequalities for the weighted means as applications of the obtained results. Modifications of the weighted Hermite-Hadamard inequality are also presented. Our results contain some exciting inequalities and extensions of the known results.

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Shigeru Furuichi, Nicuşor Minculete, Hamid Reza Moradi. 2022-12-03. Improvements of the weighted Hermite-Hadamard inequality and applications to mean inequality. https://arxiv.org/abs/2212.14796

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