engleski

Generalization of weighted version of Ostrowski's inequality and some related results

We establish some new weighted integral identities and use them to prove a number of inequalities of Ostrowski type. Among other results, we generalize one result related to the weighted version of the Ostrowski's inequality of Pečarić and Savić (Zbornik radova VAKoV (Beograd), 9(1983), 171-202) as well as the recent result of Roumeliotis et al. (RGMIA, 1(1)(1998)). We also show that the recent Anastassiou's generalization (Proc. Amer. Math. Soc., 123(1995), 3775-3781) of the Ostrowski's inequality is a special case of some results from this paper.

weighted integral identities ; Ostrowski's inequality

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