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On Some Results Involving the Čebyšev Functional and its Generalisations

Cerone, Pietro (2002) On Some Results Involving the Čebyšev Functional and its Generalisations. RGMIA research report collection, 5 (3).

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Abstract

Recent results involving bounds of the Čebyšev functional to include means over different intervals are extended to a measurable space setting. Sharp bounds are obtained for the resulting expressions of the generalised Čebyšev functionals where the means are over different measurable sets.

Item Type: Article
Uncontrolled Keywords: Čebyšev functional, Grüss inequality, measurable functions, Lebesgue integral, perturbed rules
Subjects: FOR Classification > 0102 Applied Mathematics
FOR Classification > 0103 Numerical and Computational Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 30 Aug 2012 03:21
Last Modified: 23 May 2013 16:52
URI: http://vuir.vu.edu.au/id/eprint/17767
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