Title of article :
A log-convex approach to Jensen-Mercer inequality
Author/Authors :
Davarpanah ، S. M. Department of Mathematics - Islamic Azad University, Ferdows Branch , Moradi ، H. R. Department of Mathematics - Payame Noor University (PNU)
Abstract :
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 Fejer types of inequalities are also presented.
Keywords :
Inequality , Jensen , Mercer , Fejer inequality , Hermite , Hadamard inequality , log , convex function
Journal title :
Journal of Linear and Topological Algebra
Journal title :
Journal of Linear and Topological Algebra