Inequalities for the Polar Derivative of A Polynomial

Autor:	M.S. Pukhta
Rok vydání:	2013
Předmět:	Statistics and Probability Combinatorics Economics and Econometrics Polynomial Mathematical analysis Polar Derivative Statistics Probability and Uncertainty Complex number Mathematics
Zdroj:	Mathematics and Statistics. 1:40-42
ISSN:	2332-2144 2332-2071
Popis:	IfP (z) = anz n + n P v= a n vz n v , 1 n, has all its zeros onjzj = k, k 1, then it was recently proved by Dewan and Ahuja (3) that for every real or complex number withj j k. maxzj=1 jD P (z)j n(j j +s )s k n +1 (1 +s ) maxzj=1 jP (z)j; In this paper, we improve the above result and obtain new inequality for the polar derivative of a polynomial.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::27834e4d4120c04ef7091ae4fd6e4c9d https://doi.org/10.13189/ms.2013.010204 Zobrazit plný text záznamu