多项式极坐标导数的Lγ不等式

IF 0.5 Q3 MATHEMATICS Malaysian Journal of Mathematical Sciences Pub Date : 2023-09-13 DOI:10.47836/mjms.17.3.06

M. S. Singh, N. Reingachan, M. T. Devi, B. Chanam

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引用次数: 0

摘要

本文首先在Lγ模拟中得到了一个不等式，它是关于阶数为m的多项式p(ξ) = Xm ν=0 cνξν在|ξ| <中无零的极坐标导数;r, r≥1由Govil等人证明[15]。其次，在同一篇论文中，我们也证明了对于一个所有零都在|ξ|≤r, r≤1的多项式，一个普通不等式的极导数的Lγ版本。我们的结果推广和改进了一些已知的不等式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Lγ Inequalities for the Polar Derivative of Polynomials

In this paper, firstly, we obtain an inequality in Lγ analogue concerning the polar derivative for a polynomial p(ξ) = Xm ν=0 cνξν of degree m having no zero in |ξ| < r, r ≥ 1 proved by Govil et al. [15]. Secondly, we also prove Lγ version for the polar derivative of an ordinary inequality for a polynomial having all its zeros in |ξ| ≤ r, r ≤ 1 proved in that same paper. Our results generalize and improve some known inequalities.

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来源期刊

Malaysian Journal of Mathematical Sciences MATHEMATICS-

CiteScore

1.10

自引率

20.00%

发文量

期刊介绍： The Research Bulletin of Institute for Mathematical Research (MathDigest) publishes light expository articles on mathematical sciences and research abstracts. It is published twice yearly by the Institute for Mathematical Research, Universiti Putra Malaysia. MathDigest is targeted at mathematically informed general readers on research of interest to the Institute. Articles are sought by invitation to the members, visitors and friends of the Institute. MathDigest also includes abstracts of thesis by postgraduate students of the Institute.