The number of zeros of a sum of fractional powers.

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 1364-5021

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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:

Journal 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:

/dk/atira/pure/subjectarea/asjc/3100/3100

Subjects:

?? zerosdescarteslaguerresign changesexponential sumsgeneral physics and astronomygeneral engineeringgeneral mathematicsphysics and astronomy(all)engineering(all)mathematics(all)qa mathematics ??

Departments:

Faculty of Science and Technology > Mathematics and Statistics

ID Code:

2372

Deposited By:

ep_importer

Deposited On:

01 Apr 2008 15:13

Refereed?:

Yes

Published?:

Published

Last Modified:

16 Jul 2024 08:26

URI:

https://eprints.lancs.ac.uk/id/eprint/2372