This paper investigates several integral inequalities held simultaneously for q and h-integrals in implicit form. These inequalities are established for symmetric functions using certain types of convex functions. Under certain conditions, Hadamard-type inequalities are deducible for q-integrals. All the results are applicable for ℏ-convex, m-convex and convex functions defined on the non-negative part of the real line.

Integral operators with the Mittag–Leffler function in kernels play a very vital role in generalizing classical integral inequalities. This paper aims to derive Ostrowski-type inequalities for k-fractional integrals containing Mittag–Leffler functions. Several new inequalities can be deduced for various fractional integrals in particular cases. Applications of these inequalities are also given.

This paper aims to establish generalized fractional integral inequalities for operators containing Mittag–Leffler functions. By applying $(\alpha ,h-m)-p$-convexity of real valued functions, generalizations of many well-known inequalities are obtained. Hadamard-type inequalities for various classes of functions are given in particular cases.