On η-convexity

M. Rostamian Delavar, Sever S Dragomir

Type: Article

Publication Date: 2017-01-01

Citations: 34

DOI: https://doi.org/10.7153/mia-20-14

Abstract

Some basic inequalities related to η -convex functions are proved.Also we investigate the famous Hermite-Hadamard, Fejer, Jensen and Slater type inequalities for this class of functions.Furthermore some inequalities related to differentiable η -convex functions are obtained as well.

Locations

Mathematical Inequalities & Applications - View - PDF

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+	On E-Convex Sets, E-Convex Functions, and E-Convex Programming	2001	X. M. Yang
+	On some generalizations of convex sets and convex functions	1985	Alexandru Aleman
+	Convexity for set-valued maps	1996	Daishi Kuroiwa
+	On sufficiency of the Kuhn-Tucker conditions	1981	Morgan A Hanson
+	A companion inequality to Jensen's inequality	1981	M Slater
+	Pseudo-Convex Functions	1965	O. L. Mangasarian
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+	Convexity‎, ‎Subadditivity and Generalized Jensen's Inequality	2013	Shoshana Abramovich
+	Three kinds of generalized convexity	1995	Xiaoguang Yang Shilong Liu
+ PDF Chat	On strong delta-convexity and Hermite-Hadamard type inequalities for delta-convex functions of higher order	2014	Teresa Rajba