In this paper, the integral identity for differentiable functions with wide range of applications is investigated. As an effect result, paper provides some new Hermite-Hadamard type inequalities that are in absolute value h-preinvex. Several special cases also discussed. At end, means given as well.

This paper studies functionals defined by multiple integrals associated to differential forms on the jet bundle of first order corresponding to some Riemannian manifolds; the domain of these functionals consists in submanifold maps satisfying certain conditions of integrability. Our idea is to give geometric properties to the domain of a functional allowing us to properly define convexity. The ...