Bounds for the Zeros of a Polynomial with Restricted Coefficients

• 作者: Abdul Aziz Bashir Ahmad Zargar
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: POLYNOMIAL BOUNDS ZEROS
• 年，卷（期）: 2012,（1）
• 页码范围: 30-33
• 页数: 4页
• 分类号: O1

摘要

In this paper we shall obtain some interesting extensions and generalizations of a well-known theorem due to Enestrom and Kakeya according to which all the zeros of a polynomial P(Z =αnZn+...+α1Z+α0satisfying the restriction αn≥αn-1≥...≥α1≥α0≥0 lie in the closed unit disk.