Ostrowski Type Integral Inequalities Research Articles

The Ostrowski type moment integral inequalities and moment-bounds for continuous random variables

We establish Ostrowski type integral inequalities involving moments of a continuous random variable defined on a finite interval. We also derive bounds for moments from these inequalities. Further, we discuss applications of these bounds to the Euler's beta mappings and illustrate their behaviour.

An Ostrowski type inequality for convex functions

An Ostrowski type integral inequality for convex functions and applications for quadrature rules and integral means are given. A refinement and a counterpart result for Hermite-Hadamard inequalities are obtained and some inequalities for pdf’s and (HH)−divergence measure are also mentioned.

A WEIGHTED OSTROWSKI TYPE INEQUALITY FOR FUNCTIONS WITH VALUES IN HILBERT SPACES AND APPLICATIONS

Some weighted Ostrowski type integral inequalities for vector-valued functions in Hilbert spaces are given. Applications for quadrature rules with values in Hilbert spaces are also pointed out.

On the Ostrowski’s inequality for Riemann-Stieltjes integral and applications

An Ostrowski type integral inequality for the Riemann-Stieltjes integral ∫ a b ƒ (t) du (t), where ƒ is assumed to be of bounded variation on [a,b] andu is ofr-H- Holder type on the same interval, is given. Applications to the approximation problem of the Riemann-Stieltjes integral in terms of Riemann-Stieltjes sums are also pointed out.