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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

Farhat Safdar, Muhammad Aslam Noor, Khalida Inayat Noor. (2019) ϕ-Geometrically Log h-Convex Functions, Punjab University Journal of Mathematics, Volume 51, Issue 9.
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