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On Some Results Involving the Cebysev Functional and its Generalisations

Cerone, Pietro (2003) On Some Results Involving the Cebysev Functional and its Generalisations. Journal of Inequalities in Pure and Applied Mathematics, 4 (3). ISSN 1443-5756

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Abstract

Recent results involving bounds of the Cebysev 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 Cebysev functionals where the means are over different measurable sets.

Item Type: Article
Uncontrolled Keywords: ResPubID5659, Cebysev functional, Grüss inequality, measurable functions, Lebesgue integral, perturbed rules.
Subjects: Faculty/School/Research Centre/Department > School of Engineering and Science
FOR Classification > 0199 Other Mathematical Sciences Information Systems
Depositing User: VUIR
Date Deposited: 28 Jun 2011 04:09
Last Modified: 28 Jun 2011 04:09
URI: http://vuir.vu.edu.au/id/eprint/2385
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