A log-convex approach to Jensen-Mercer inequality

Author(s):

M. Davarpanah * , H. R. Moradi

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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 Fej\'er types of inequalities are also presented‎.‎
Keywords:

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

Language:
English
Published:
Journal of Linear and Topological Algebra, Volume:11 Issue: 3, Summer 2022
Pages:
169 to 176
https://www.magiran.com/p2520118