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On inequalities of Jensen-Ostrowski type

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

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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.

Item Type: Article
Uncontrolled Keywords: Jensen inequality; Ostrowski inequality; Ostrowski inequality; discrepancy
Subjects: FOR Classification > 0102 Applied Mathematics
Faculty/School/Research Centre/Department > College of Science and Engineering
Depositing User: Symplectic Elements
Date Deposited: 12 Sep 2016 00:04
Last Modified: 31 Jul 2018 04:18
URI: http://vuir.vu.edu.au/id/eprint/31538
DOI: https://doi.org/10.1186/s13660-015-0849-3
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Citations in Scopus: 2 - View on Scopus

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