On Relationships Between Ostrowski, Trapezoidal and Chebychev Identities and Inequalities

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

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
URI https://vuir.vu.edu.au/id/eprint/17409
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Ostrowski inequality, trapezoidal inequality, Chebychev inequality
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