Abstract
Integral inequalities are a powerful tool for estimating errors of quadrature formulas. In this study, some symmetric dual Simpson type integral inequalities for the classes of s-convex, bounded and Lipschitzian functions are proposed. The obtained results are based on a new identity and the use of some standard techniques such as Holder as well as power mean inequalities. We give at the end some applications to the estimation of quadrature rules and to particular means.