Abstract:
In this work, we use weighted integrals to obtain new integral inequalities of the Simpson type for the class of $(h, m, s)$-convex functions of the second type. In the work we show that the obtained results include some known from the literature, as particular cases.
Keywords:convex fuction, inequality of Simpson, weighted integral operator, $(h, m, s)$-convex function, Hadamard-type inequality, Hölder inequality, power mean inequality.