BERNSTEIN-TYPE INEQUALITIES FOR COMPLEX POLYNOMIALS

Considering a class of polynomials ${\small G(z) = a_n z^n +\sum\limits_{v=t}^{n} a_{n-v}z^{n-v}, 1\leq t \leq n}$ having all it's zeros in the disk $|z|\leq k$, $k\leq 1$, we present a generalization and improvement of results by Malik and Vong[8]. Also a variety of interesting results emerge as special cases of our findings.

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DergiPark (Istanbul University)
Published
2025-02-14
Primary Topic
Analytic and geometric function theory
Type
article
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article

BERNSTEIN-TYPE INEQUALITIES FOR COMPLEX POLYNOMIALS

M. Bidkham, Mahboobeh Shamoradi
DergiPark (Istanbul University)
Analytic and geometric function theory
article

BERNSTEIN-TYPE INEQUALITIES FOR COMPLEX POLYNOMIALS

M. Bidkham, Mahboobeh Shamoradi
article en

Abstract

Considering a class of polynomials ${\small G(z) = a_n z^n +\sum\limits_{v=t}^{n} a_{n-v}z^{n-v}, 1\leq t \leq n}$ having all it's zeros in the disk $|z|\leq k$, $k\leq 1$, we present a generalization and improvement of results by Malik and Vong[8]. Also a variety of interesting results emerge as special cases of our findings.

DergiPark (Istanbul University)
Semnan University (IR)
Reduced inequalities
Openalex Percentile: Top 14%
Analytic and geometric function theory
OpenAlex
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