Inégalités de type Newton-Cotes à trois points

Abstract

In this memory, we will study the integral inequality generalized of Newton-Cotes open involving three points, which we find the famous inequality of Simpson in the case we take x=a, for this we provide three parts. In the first part we recall some classes of integral functions and identities that will be used later. Then in the second part we quoted some results already known in the literature on integral inequalities of the Newton-Cotes type at one, two and three points classical and fractional. While the last part will be entirely devoted to new fractional inequalities type of Newton-Cotes in the general framework, of which these new results are submitted for possible publication.