A log-convex approach to Jensen-Mercer inequality
محورهای موضوعی : Functional analysis
M. Davarpanah
1
(Department of Mathematics, Ferdows Branch, Islamic Azad University, Ferdows, Iran)
H. R. Moradi
2
(Department of Mathematics, Payame Noor University (PNU), P.O. Box, 19395-4697, Tehran, Iran)
کلید واژه: Inequality, Hermite-Hadamard inequality, Jensen-Mercer, Fejer inequality, log-convex function,
چکیده مقاله :
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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