Résumé:
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.
