Special functions: approximations and bounds

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Cerone, Pietro (2007) Special functions: approximations and bounds. Applicable Analysis and Discrete Mathematics, 1 (1). pp. 72-91. ISSN 1452-8630

Abstract

The Steffensen inequality and bounds for the Cebysev 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.

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Item type Article
URI https://vuir.vu.edu.au/id/eprint/3210
DOI https://doi.org/10.2298/AADM0701072C
Official URL http://pefmath.etf.rs/accepted/AADM-Vol1-No1-72-91...
Subjects Historical > Faculty/School/Research Centre/Department > School of Engineering and Science
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Historical > SEO Classification > 9399 Other Education and Training
Keywords ResPubID14200, Čebyšev functional, Grüss inequality, Bessel, Beta and Zeta function bounds.
Citations in Scopus 12 - View on Scopus
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