A Comprehensive Review of the Hermite–Hadamard Inequality Pertaining to Fractional Integral Operators

In the frame of fractional calculus, term convexity is primarily utilized to address several challenges in both pure and applied research. The main focus objective this review paper present Hermite–Hadamard (H-H)-type inequalities involving a variety classes convexities pertaining integral operators. Included various are classical convex functions, m-convex r-convex (α,m)-convex (α,m)-geometrically harmonically symmetric (θ,m)-convex m-harmonic (s,r)-convex arithmetic–geometric logarithmically (α,m)-logarithmically geometric–arithmetically s-convex Godunova–Levin-convex differentiable ϕ-convex MT-convex (s,m)-convex p-convex h-convex σ-convex exponential-convex exponential-type refined n-polynomial σ,s-convex modified (p,h)-convex co-ordinated-convex relative-convex quasi-convex (α,h−m)−p-convex preinvex functions. operators Riemann–Liouville (R-L) integral, Katugampola k-R-L (k,s)-R-L Caputo-Fabrizio (C-F) R-L integrals function with respect another function, Hadamard Raina operator.