Hermite–Hadamard-Type Inequalities for the Generalized Geometrically Strongly Modified <math xmlns='http://www.w3.org/1998/Math/MathML' id='M1'> <mi>h</mi> </math>-Convex Functions

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.