Abstract

In this paper, by relaxing the hypothesis of well-known Eneström–Kakeya theorem, we obtain a result which is applicable to the lacunary-type of polynomials and generalizes several well-known results concerning the location of zeros of polynomials. In addition to this, we show by examples that our results presents better information about the bounds of zeros of polynomials than some known results.

中文翻译：

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空隙型多项式的零点位置

摘要

在本文中，通过放宽著名的 Enestrom–Kakeya 定理的假设，我们得到了适用于空缺型多项式的结果，并推广了几个关于多项式零点位置的著名结果。除此之外，我们通过示例表明，我们的结果比一些已知结果提供了关于多项式零边界的更好信息。