Bullen inequality for third differentiable functions

Abstract

This paper develops a novel Bullen inequality for third-differentiable functions using Riemann integrals. Furthermore, new Bullen inequalities are proposed utilizing a summation parameter p ≥ 1 for and s-convex functions ,convex functions and P-functions classes. Particular cases are studied when the third derivative functions are also bounded and Lipschitzian.1.