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

Autori
Matić, Marko ; Pečarić, Josip ; Ujević, Nenad

Izvornik
Journal of inequalities and applications (1025-5834) 5 (2000), 6; 639-666

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
weighted integral identities ; Ostrowski's inequality

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA