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On Relationships Between Ostrowski, Trapezoidal and Chebychev Identities and Inequalities

Cerone, Pietro (2001) On Relationships Between Ostrowski, Trapezoidal and Chebychev Identities and Inequalities. RGMIA research report collection, 4 (2).

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Abstract

This article investigates the relationship between the Ostrowski, Trapezoidal and Chebychev functional identities. It demonstrates how one may be obtained from the other thorugh transformations. The relationships between bounds on the functionals is also examined. The three point functional is analysed as its relationship to a generalised Chebychev functional.

Item Type: Article
Uncontrolled Keywords: Ostrowski inequality, trapezoidal inequality, Chebychev inequality
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 04:07
Last Modified: 23 May 2013 16:50
URI: http://vuir.vu.edu.au/id/eprint/17409
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