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

Published 3 Dec 2022 in math.GM | (2212.14796v1)

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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