A log-convex approach to Jensen-Mercer inequality

Journal of Linear and Topological Algebra

دوره 11، شماره 03، آذر 2022، صفحه 169-176   

نوع مقاله: Research Paper

شناسه دیجیتال (DOI): 10.30495/jlta.2022.695231

نویسندگان

M. Davarpanah^{* 1}؛ H. R. Moradi²

¹Department of Mathematics, Ferdows Branch, Islamic Azad University, Ferdows, Iran

²Department of Mathematics‎, Payame Noor University (PNU)‎, ‎P.O‎. ‎Box‎, ‎19395-4697‎, ‎Tehran‎, ‎Iran

چکیده

‎We obtain some new Jensen-Mercer type inequalities for log-convex functions‎. ‎Indeed‎, ‎we establish refinement and reverse for the Jensen-Mercer inequality for log-convex functions‎. ‎Several new Hermite-Hadamard and Fej'er types of inequalities are also presented‎.
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کلیدواژه‌ها

Inequality؛ Jensen-Mercer؛ Fejer inequality؛ Hermite-Hadamard inequality؛ log-convex function

مراجع

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