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: | 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 |
| Subjects: | Q Science > QA Mathematics |
| Departments: | Faculty of Science and Technology > Mathematics and Statistics |
| ID Code: | 2374 |
| Deposited By: | ep_importer |
| Deposited On: | 01 Apr 2008 16:34 |
| Refereed?: | Yes |
| Published?: | Published |
| Last Modified: | 26 Jul 2012 16:12 |
| Identification Number: | |
| URI: | http://eprints.lancs.ac.uk/id/eprint/2374 |
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