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/researchoutput/libraryofcongress/qa
Subjects:
ID Code:
2372
Deposited By:
Deposited On:
01 Apr 2008 15:13
Refereed?:
Yes
Published?:
Published
Last Modified:
01 Jan 2020 06:35