Generalizations of weighted version of Ostrowski's inequality and some related results (Q1840690)

The authors establish certain new weighted integral identities and use them to prove a number of inequalities of Ostrowski type. Among other results, they generalize a weighted version of the Ostrowski inequality due to Pečarić and Savić (1983), as well as results by Roumeliotis et al. (1998). They show also that a recent generalization by Anastassiou (1995) is a special case of some theorems in the paper. \{Reviewer's remark: A forgetten paper [Stud. Univ. Babeş-Bolyai, Math. 36, No. 1, 9-15 (1991; Zbl 0900.26039)] of the reviewer, contains the basic ideas of many further Ostrowski-type generalizations\}.