A Companion of Ostrowski’s Inequality for the Riemann-stieltjes Integral

A companion of Ostrowski's inequality for the Riemann-Stieltjes integral ..., where f is of bounded variation and u is of r-H-Hölder type and applications

A new theorem on the existence of the Riemann-Stieltjes integral and an improved version of the Loéve-Young inequality

Using the notion of the truncated variation we obtain a new theorem on the existence and estimation of the Riemann-Stieltjes integral. As a special case of this theorem we obtain an improved version of the Loéve-Young inequality for the Riemann-Stieltjes integrals driven by irregular signals. Using this result we strengthen some results of Lyons on the existence of solutions of integral equatio...

A Generalization of Companion Inequality of Ostrowski’s Type for Mappings Whose First Derivatives Are Bounded and Applications in Numerical Integration

An inequality for a companion of Ostrowski's integral inequality is proved. Application to a composite quadrature rule is considered.

The Beesack-Darst-Pollard inequalities and approximations of the Riemann-Stieltjes integral

Utilising the Beesack version of the Darst-Pollard inequality, some error bounds for approximating the Riemann-Stieltjes integral are given. Some applications related to the trapezoid and mid-point quadrature rules are provided.

On the generalization of Trapezoid Inequality for functions of two variables with bounded variation and applications

In this paper, a generalization of trapezoid inequality for functions of two independent variables with bounded variation and some applications are given.