In this paper, we defined and studied the concept of exponential type multiplicatively convex functions and some of their algebraic properties. We derived Hermite-Hadamard inequalities for this class ...

A real valued function f defined on a real interval I is called (ε,δ)-convex if it satisfies f(tx+(1-t)y)≤ tf(x)+(1-t)f(y)+ε t(1-t)|x-y|+δ for x,y∈ I,t∈ [0,1]. The main results of the paper offer ...