학술논문
Some Compact Generalizations of Certain Well Known Inequalities for Polynomials.
Document Type
Article
Author
Source
Subject
*POLYNOMIALS
*COMPACT spaces (Topology)
*GENERALIZATION
*MATHEMATICAL inequalities
*TOPOLOGICAL degree
*COMPLEX numbers
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Language
ISSN
0129-2021
Abstract
Let M(f, r) = max|z|=r |f(z)| for an arbitrary entire function f(z). If P(z) = Σv=0ncvzv is a polynomial of degree n, then for all real or complex numbers |α|, |β| with α ≤ 1, β ≤ 1 and R ≥ 1, it was proved by [4] that ... In this paper, we shall first obtain a result analogue of above inequality concerning minimum modulus of polynomials with restricted zeros and thereby some compact generalization of certain well known polynomial inequalities have been obtained. [ABSTRACT FROM AUTHOR]