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).
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 |
| 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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