The ratio between the tail of a series and its approximating integral.

Jameson, Graham J. O. (2003) The ratio between the tail of a series and its approximating integral. Journal of Inequalities in Pure and Applied Mathematics, 4 (2). pp. 1-12. ISSN 1443-5756

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Abstract

For a strictly positive function , let and , assumed convergent. If is increasing, then is decreasing and is increasing. If is increasing, then is decreasing. Under suitable conditions, analogous results are obtained for the ``continuous tail'' defined by : these results apply, in particular, to the Hurwitz zeta function.

Item Type:
Journal Article
Journal or Publication Title:
Journal of Inequalities in Pure and Applied Mathematics
Additional Information:
Copyright 2003 Journal of Inequalities in Pure and Applied Mathematics. RAE_import_type : Journal article RAE_uoa_type : Pure Mathematics
Uncontrolled Keywords:
/dk/atira/pure/researchoutput/libraryofcongress/qa
Subjects:
ID Code:
2374
Deposited By:
Deposited On:
01 Apr 2008 15:34
Refereed?:
Yes
Published?:
Published
Last Modified:
05 Aug 2020 00:38