A Comprehensive Review of the Hermite–Hadamard Inequality Pertaining to Quantum Calculus

A review of results on Hermite–Hadamard (H-H) type inequalities in quantum calculus, associated with a variety classes convexities, is presented. In the various convexities this includes classical convex functions, quasi-convex p-convex (p,s)-convex modified (p,h)-convex tgs-convex η-quasi-convex ϕ-convex (α,m)-convex ϕ-quasi-convex and coordinated functions. Quantum H-H via preinvex functions Green are also Finally, for (p,q)-calculus, h-calculus, (q−h)-calculus included.