Open Access
June 2010 Some $L^p$ inequalities for polynomials
Kum K. Dewan, Abdullah Mir, Naresh Singh
Funct. Approx. Comment. Math. 42(2): 131-143 (June 2010). DOI: 10.7169/facm/1277811636

Abstract

In this paper we establish some $L^p$ inequalities for polynomials having no zeros in $|z|<k$, where $k\ge 1$. Our results not only generalizes some known polynomial inequalities, but also a variety of interesting results can be deduced from these by a fairly uniform procedure.

Citation

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Kum K. Dewan. Abdullah Mir. Naresh Singh. "Some $L^p$ inequalities for polynomials." Funct. Approx. Comment. Math. 42 (2) 131 - 143, June 2010. https://doi.org/10.7169/facm/1277811636

Information

Published: June 2010
First available in Project Euclid: 29 June 2010

zbMATH: 1155.30302
MathSciNet: MR2674534
Digital Object Identifier: 10.7169/facm/1277811636

Subjects:
Primary: 30A10
Secondary: 26D05 , 30C10 , 30D15

Keywords: $L^p$ inequalities , polynomials , Zeros , Zygmund inequality

Rights: Copyright © 2010 Adam Mickiewicz University

Vol.42 • No. 2 • June 2010
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