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 | 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 | 14 - View on Scopus |
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