Muhammad Aslam Noor, Sundas Khan, Khalida Innayat Noor
In this paper, we introduce and investigate a new class of preinvex functions, which is called geometrically log-preinvex functions. We explore the properties of these functions and derive several new Hermite-Hadamard type inequalities. The results presented in this study extend the theoretical framework of preinvexity and offer potential applications in optimization and mathematical analysis. The techniques employed in this research could inspire further exploration and development in the field of mathematical inequalities and convex analysis.