Title of article
Some compact generalization of inequalities for polynomials with prescribed zeros
Author/Authors
-، - نويسنده Freelance Mathematics Researcher, Mashhad, Iran. Soliman Mezerji, H. A. , -، - نويسنده Department of Mathematics, Semnan University, Semnan, Iran. Ahamadi, S. , -، - نويسنده Department of Mathematics, Semnan University, Semnan, Iran. Bidkham, M.
Issue Information
دوماهنامه با شماره پیاپی 0 سال 2017
Pages
8
From page
163
To page
170
Abstract
-
Abstract
Let $p(z)=z^s h(z)$ where $h(z)$ is a polynomial of degree at most $n-s$ having all its zeros in $|z|geq k$ or in $|z|leq k$. In this paper we obtain some new results about the dependence of $|p(Rz)|$ on $|p(rz)| $ for $r^2leq rRleq k^2$, $k^2 leq rRleq R^2$ and for $Rleq r leq k$. Our results refine and generalize certain well-known polynomial inequalities.
Journal title
Bulletin of the Iranian Mathematical Society
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2400331
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