Maclaurin’s inequalities for functions whose first derivatives are preinvex
Keywords:Maclaurin's inequality, preinvex functions, Hölder inequality, power mean inequality
In this paper, using a new identity, we study one of the famous Newton-Cotes three-point quadrature
rules. More precisely Maclaurin’s quadrature rule, for which we establish the error estimate of this method
under the constraint that the first derivatives belong to the class of preinvex functions. We also give some
applications to special means as applications. We believe that this new studied inequality and the results
obtained in this article will further inspire intrigued researchers.
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