New Inequalities on Lγ-Spaces
Year: 2013
Analysis in Theory and Applications, Vol. 29 (2013), Iss. 4 : pp. 390–400
Abstract
We consider for a fixed μ, the class of polynomials Pn,μ,s:={P(z)=zs(anzn−s+n−s∑j=μan−jzn−j−s);1≤μ≤n−s} 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.
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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.
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