Abstract
Convexity theory becomes a hot area of research due to its applications in pure and applied mathematics, especially in optimization theory. The aim of this paper is to introduce a broader class of convex functions by unifying geometrically strong convex function with
h
convex functions. This new class of functions is called as generalized geometrically strongly modified
h
-convex functions. We established Hermite–Hadamard-type inequalities for the generalized geometrically strongly modified
h
-convex functions. Our results can be considered as generalization and extension of literature.