Inégalités intégrales de type Euler-Simpson

Abstract

The aim of this memory, is to study the Euler-Simpson type inequalities for functions whose first derivatives are s-convex, bounded as well as Hölderian. For this we propose : In the first chapter, a preliminaries concerning some classes of classical convexity, as well as some classes of functions. In the second chapter, we discuss some classical three-point Newton-Cotes types inequalities. While the last chapter is devoted to some new results regarding Euler-Simpson integral inequalities.