Two Ostrowski Type Inequalities for the Stieltjes Integral of Monotonic Functions

Two integral inequalities of Ostrowski type for the Stieltjes integral\ud are given. The first is for monotonic integrators and Holder continuous\ud integrands while the second considers the dual case, i.e., for monotonic integrands\ud and Holder continuous integrators. Applications for the mid-point\ud inequality that are useful in the numerical analysis of Stieltjes integrals are\ud exhibited. Some connections with the generalised trapezoidal rule are also\ud presented