Some Generalizations of the Enestr\"om-Kakeya Theorem

Eze R. Nwaeze

Some Generalizations of the Enestr\"om-Kakeya Theorem

Complex Variables 2016-09-27 v1

Authors: Eze R. Nwaeze

Abstract

Let $p(z)=a_0+a_1z+a_2z^2+a_3z^3+\cdots+a_nz^n$ be a polynomial of degree $n,$ where the coefficients $a_j,$ $j \in \{0,1,2,\cdots n\},$ are real numbers. We impose some restriction on the coefficients and then prove some extensions and generalizations of the Enestr\"{o}m-Kakeya Theorem.

Keywords

Eneström-Kakeya theorem polynomial zeros of polynomials complex coefficients

Cite

@article{arxiv.1609.07753,
  title  = {Some Generalizations of the Enestr\"om-Kakeya Theorem},
  author = {Eze R. Nwaeze},
  journal= {arXiv preprint arXiv:1609.07753},
  year   = {2016}
}

Comments

This is a preprint of a paper whose final and definite form is published open access in the Acta et Commentationes Universitatis Tartuensis de Mathematica (ACUTM)

Some Generalizations of the Enestr\"om-Kakeya Theorem

Abstract

Keywords

Cite

Comments

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