Jameson, Graham J. O. (2006) The number of zeros of a sum of fractional powers. Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences, 462 (2070). pp. 1821-1830. ISSN 1471-2946
Full text not available from this repository.Official URL: http://dx.doi.org/10.1098/rspa.2005.1647
Abstract
We consider functions of the form f(x=∑j=1ncjx+ajp, where where a1>c⃛>an≥0. A version of Descartes's rule of signs applies. Further, if Cj=∑i=1jci and Cn=0, then the number of zeros of f is bounded by the number of sign changes of Cj. The estimate is reduced by 1 for each relation of the form ∑j=1ncjajr=0.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences |
| Additional Information: | RAE_import_type : Journal article RAE_uoa_type : Pure Mathematics |
| Uncontrolled Keywords: | zeros ; Descartes ; Laguerre ; sign changes ; exponential sums |
| Subjects: | Q Science > QA Mathematics |
| Departments: | Faculty of Science and Technology > Mathematics and Statistics |
| ID Code: | 2372 |
| Deposited By: | ep_importer |
| Deposited On: | 01 Apr 2008 16:13 |
| Refereed?: | Yes |
| Published?: | Published |
| Last Modified: | 26 Jul 2012 16:12 |
| Identification Number: | |
| URI: | http://eprints.lancs.ac.uk/id/eprint/2372 |
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