Some new Hermite–Hadamard type inequalities for s-convex functions and their applications

In this paper, we establish some new integral inequalities of Hermite–Hadamard type for s -convex functions by using the Hölder–İşcan integral inequality. We also compare our new results with the known results and show that the results which we obtained are better than the known results. Finally, we give some applications to trapezoidal formula and to special means.