On Applications Of The Integral Of Products Of Functions And Its Bounds

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Cerone, Pietro (2003) On Applications Of The Integral Of Products Of Functions And Its Bounds. RGMIA research report collection, 6 (3).

Abstract

The Steffensen inequality and bounds for the Čebyšev functional are utilised to obtain bounds for some classical special functions. The technique relies on determining bounds on integrals of products of functions. The above techniques are used to obtain novel and useful bounds for the Bessel function of the first kind, the Beta function and the Zeta function.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17833
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, Bessel, beta and zeta function bounds
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