On inequalities of Jensen-Ostrowski type

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Cerone, Pietro, Dragomir, Sever S ORCID: 0000-0003-2902-6805 and Kikianty, Eder (2015) On inequalities of Jensen-Ostrowski type. Journal of Inequalities and Applications, 2015. ISSN 1025-5834

Abstract

We provide new inequalities of Jensen-Ostrowski type, by considering bounds for the magnitude of (Formula Presented), with various assumptions on the absolutely continuous function f:[a,b]→C and a μ-measurable function g, and a complex number λ. Inequalities of Ostrowski and Jensen type are obtained as special cases, by setting λ=0 and ζ=∫Ωgdμ, respectively. In particular, we obtain some bounds for the discrepancy in Jensen’s integral inequality. Applications of these inequalities for f-divergence measures are also given.

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Item type Article
URI https://vuir.vu.edu.au/id/eprint/31538
DOI 10.1186/s13660-015-0849-3
Official URL http://journalofinequalitiesandapplications.spring...
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Current > Division/Research > College of Science and Engineering
Keywords Jensen inequality; Ostrowski inequality; Ostrowski inequality; discrepancy
Citations in Scopus 3 - View on Scopus
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