Inequalities for the Polar Derivatives of a Polynomial
Anal. Theory Appl., 30 (2014), pp. 425-432.
Published online: 2014-11
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@Article{ATA-30-425,
author = {B. A. Zargar},
title = {Inequalities for the Polar Derivatives of a Polynomial},
journal = {Analysis in Theory and Applications},
year = {2014},
volume = {30},
number = {4},
pages = {425--432},
abstract = {
Let $P(z)$ be a polynomial of degree $n,$ having all its zeros in $|z|\leq 1.$ In this paper, we estimate $kth$ polar derivative of $P(z)$ on $|z|=1$ and thereby obtain compact generalizations of some known results which among other things yields a refinement of a result due to Paul Turán.
}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2014.v30.n4.10}, url = {http://global-sci.org/intro/article_detail/ata/4507.html} }
TY - JOUR
T1 - Inequalities for the Polar Derivatives of a Polynomial
AU - B. A. Zargar
JO - Analysis in Theory and Applications
VL - 4
SP - 425
EP - 432
PY - 2014
DA - 2014/11
SN - 30
DO - http://doi.org/10.4208/ata.2014.v30.n4.10
UR - https://global-sci.org/intro/article_detail/ata/4507.html
KW - Polar derivative of a polynomial, maximum modulus, Bernstein's inequality.
AB -
Let $P(z)$ be a polynomial of degree $n,$ having all its zeros in $|z|\leq 1.$ In this paper, we estimate $kth$ polar derivative of $P(z)$ on $|z|=1$ and thereby obtain compact generalizations of some known results which among other things yields a refinement of a result due to Paul Turán.
B. A. Zargar. (2014). Inequalities for the Polar Derivatives of a Polynomial.
Analysis in Theory and Applications. 30 (4).
425-432.
doi:10.4208/ata.2014.v30.n4.10
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