Inequalities Concerning The Maximum Modulus of Polynomials

作     者：B.A.Zargar A.W.Manzoor Shaista Bashir 

作者机构：Department of Mathematics University of Kashmir 

出 版 物：《Analysis in Theory and Applications》 (分析理论与应用（英文刊）)

年 卷 期：2018年第34卷第2期

页      面：175-186页

核心收录：

学科分类：07[理学] 0701[理学-数学] 

主　　题：Growth of polynomials minimum modulus of polynomials inequalities 

摘      要：Let P(z) be a polynomial of degree n having all its zeros in |z|≤k, k ≤1, then for every real or complex number β, with |β|≤ 1 and R ≥ 1, it was shown by A.Zireh et al. [7] that for |z|=1,min|z|=1|P(Rz)+β((R+k)/(1+k))~nP(z)|≥k^(-n)|R^n+β((R+k)/(1+k))~n|min|z|=k|P(z)|.In this paper, we shall present a refinement of the above inequality. Besides, we shall also generalize some well-known results.