Generalizations of weighted version of Ostrowski's inequality and some related results
<p/> <p>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 (&...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2000-01-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/5/580506 |
| Summary: | <p/> <p>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 (<it>Zbornik radova VA KoV (Beograd)</it>, 9 (1983), 171–202) as well as the recent result of Roumeliotis <it>et al.</it> (<it>RGMIA</it>, 1(1) (1998)). We also show that the recent Anastassiou's generalization (<it>Proc. Amer. Math. Soc.</it>, 123 (1995), 3775–3781) of the Ostrowski's inequality is a special case of some results from this paper.</p> |
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| ISSN: | 1025-5834 1029-242X |