Estimates of upper bound for a kth order differentiable functions involving Riemann–Liouville integrals via higher order strongly h-preinvex functions

Abstract

In this paper the notion of higher order strongly h-preinvex functions is presented, which unifies several known classes of preinvexity. An identity related to the kth order differentiable functions and Riemann-Liouville integrals is established. The identity is then used to obtain some estimates of upper bound for the kth order differentiable functions involving Riemann-Liouville integrals via higher order strongly h-preinvex functions.

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