Jensen-type inequalities for log-convex functions

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Published Jun 18, 2023

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Hadi Khodabakhshian
Department of Mathematics, Payame Noor University (PNU), Tehran, Iran
N. Goudarzi
Department of Nuclear Engineering, Abadeh Branch, Islamic Azad University, Abadeh, Iran
Rahim Safshekan
Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran

Abstract

The main result of this paper is to give refinement and reverse the celebrated Jensen inequality. We directly apply our results to establish several weighted arithmetic-geometric mean inequality. We also present a stronger estimate for the first inequality in the Hermite-Hadamard inequality.

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How to Cite
Khodabakhshian, H., Goudarzi, N., & Safshekan, R. (2023). Jensen-type inequalities for log-convex functions. Acta Mathematica Universitatis Comenianae, 92(2), 113-123. Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/1841/986
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Issue
Vol 92 No 2 (2023): AMUC
Section
Articles