Some Properties of (ℎ, 𝑚)-Preinvex Functions and Hermite Hadamard Inequality
Erdal ÜNLÜYOL 1
, Mustafa KARADENİZ 1
, Mustafa KARADENİZ 1
1Ordu University, Department of Mathematics, ORDU
Sigma J Eng Nat Sci 2019; 10(): 257-264
Abstract
In this paper, firstly it is defined a new class of preinvex, namely, (h,m)-preinvex. Secondly it is obtained some algebraic properties of this class, i.e. sum, multiple etc. Finally it is proved the Hermite-Hadamard Type Inequality for (h,m)−convex and established some new inequalities.
Keywords: Convex, Hermite-Hadamard, preinvex, m-preinvex, ℎ-preinvex, (ℎ, 𝑚)-preinvex.
