On Some Results Involving the Čebyšev Functional and its Generalisations

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


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
URI https://vuir.vu.edu.au/id/eprint/17767
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 Čebyšev functional, Grüss inequality, measurable functions, Lebesgue integral, perturbed rules
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