φ-Geometrically Log h-Convex Functions

Abstract

In this paper, we present new classes of ϕ-geometrically log hconvex mappings in the first sense and in the second sense. We establish Hermite-Hadamard(H-H) type inequalities for these classes. It is proved that the class of generalized geometrically log h-convex mappings in both senses includes several new and known classes of log h- convex mappings. Results obtained in this article can be viewed as a new contributions in this area of research.