Inequalities for q-h-Integrals via PLANCK CONSTANT OVER TWO PI-Convex and m-Convex Functions

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 PLANCK CONSTANT OVER TWO PI-convex, m-convex and convex functions defined on the non-negative part of the real line.