Exponential type convexity and some related inequalities

[摘要] In this manuscript, we give and study the concept of exponential type convex functions and some of their algebraic properties. We prove two Hermite–Hadamard (H-H) type integral inequalities for the newly introduced class of functions. We also obtain some refinements of the H-H inequality for functions whose first derivative in absolute value at certain power is exponential type convex.

[学科分类] 电力

[关键词] Convex function;Exponential type convexity;Hermite–Hadamard inequality