Some new Simpson type integral inequalities for (s, P)-functions

In this paper, we establish some new Simpson type inequalities for functions, whose first deriva-tive in absolute value is (s, P)-function by using Hölder, power-mean and Hölder-İşcan inequalities. After that, we compare the results obtained with both Hölder, Hölder-İşcan integral inequalities and prove that the Hölder-İşcan integral inequality gives a better approximation, than the Hölder inequality. Also, some applications to special means of real numbers are also given.