A sequence of functions is called a -harmonic sequence of functions if , for some and , where . If is a real Borel measure on and if is a -harmonic sequence, then for a function such that is a continuous function of bounded variation the following identity holds:
where for and for and
In the rest of the paper, the authors use the above-mentioned identity to prove Ostrowski-type inequalities which hold for a class of functions whose derivatives are either -Lipschitzian or continuous and of bounded variation. Analogous results are obtained for a class of functions with derivatives .