Year: 2013
Analysis in Theory and Applications, Vol. 29 (2013), Iss. 4 : pp. 390–400
Abstract
We consider for a fixed $\mu$, the class of polynomials $$P_{n,\mu,s}:=\Bigg\{ P(z) =z^s(a_nz^{n−s}+ \sum^{n-s}_{j=\mu}a_{n−j}z^{n−j−s}); 1≤\mu≤n−s\Bigg\}$$ of degree $n$, having all zeros in $|z|≤k,$ $k≤1$, with $s$-fold zeros at the origin. In this paper, we have obtained inequalities in the reverse direction for the above class of polynomials. Besides, extensions of some Turan-type inequalities for the polar derivative of polynomials have been considered.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2013.v29.n4.8
Analysis in Theory and Applications, Vol. 29 (2013), Iss. 4 : pp. 390–400
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Polynomial Zygmund inequality polar derivative.
-
On Polynomials and Their Polar Derivative
MİR, Abdullah
Mathematical Sciences and Applications E-Notes, Vol. 4 (2016), Iss. 2 P.110
https://doi.org/10.36753/mathenot.421464 [Citations: 1] -
On an inequality of Paul Turan concerning polynomials
Mir, Abdullah | Dewan, K. K. | Hussain, ImtiazLobachevskii Journal of Mathematics, Vol. 37 (2016), Iss. 2 P.155
https://doi.org/10.1134/S1995080216020104 [Citations: 1]