BERNSTEIN-TYPE INEQUALITIES FOR COMPLEX POLYNOMIALS

Year 2026, Volume: 16 Issue: 3, 341 - 348, 17.03.2026

Mahboobeh Shamoradi Mahmood Bidkham

https://izlik.org/JA95SM72DG

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.

Keywords

Complex polynomial , Inequalities , Maximum , zeros

Thanks

The authors wish to sincerely thank the referees, for the careful reading of the paper and for the helpful suggestions and comments.

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