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Special functions: approximations and bounds

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

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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.

Item Type: Article
Uncontrolled Keywords: ResPubID14200, Čebyšev functional, Grüss inequality, Bessel, Beta and Zeta function bounds.
Subjects: Faculty/School/Research Centre/Department > School of Engineering and Science
FOR Classification > 0103 Numerical and Computational Mathematics
SEO Classification > 9399 Other Education and Training
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Depositing User: VUIR
Date Deposited: 07 May 2012 02:47
Last Modified: 07 May 2012 02:47
URI: http://vuir.vu.edu.au/id/eprint/3210
DOI: 10.2298/AADM0701072C
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Citations in Scopus: 1 - View on Scopus

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