Ostrowski-type Inequalities

Abstract

In [81], A.M. Ostrowski proved the inequality (7), which is now known in the literature as Ostrowski’s inequality. Since its apperance in 1938, a good deal of research activity has been concentrated on the investigation of the inequalities of the type (7) and their applications. The books [50,80] contain a considerable amount of results related to Ostrowski’s inequality. In the last two decades, the inequalities which claim their origin to the Ostrowski’s inequality (7) have renewed interests and several studies dedicated to obtain various generalizations, extensions, variants and applications have appeared in the literature. In this chapter, we present some of the more recent developments related to the Ostrowski’s inequality (7), not covered in [50,80]. Applications are discussed to illustrate the usefulness of certain inequalities.