Ostrowski and trapezoid type inequalities for the Stieltjes integral with Lipschitzian integrands or integrators
Some Ostrowski and trapezoid type inequalities for the Stieltjes integral in the case of Lipschitzian integrators for both Hlder continuous and monotonic integrals are obtained. The dual case is also analysed. Applications for the midpoint rule are pointed out as well.
stieltjes integral integral inequalities ostrowski inequality quadrature rules mid-point rule trapezoidal rule