On some inequalities involving the zeros and weighted $L^p$ norms of polynomials
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- Proc. Amer. Math. Soc. 130 (2002), 53-57 Request permission
Abstract:
Using Parseval’s identity and the Hardy-Littlewood-Pólya inequality on the maximal decreasing rearrangement, we establish some sharp inequalities involving the weighted $L^p$ norm and the zeros of polynomials.References
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- C. J. Everett Jr., Annihilator ideals and representation iteration for abstract rings, Duke Math. J. 5 (1939), 623–627. MR 13
Additional Information
- Li-Chien Shen
- Affiliation: Department of Mathematics, University of Florida, Gainesville, Florida 32611
- Email: shen@math.ufl.edu
- Received by editor(s): May 8, 2000
- Published electronically: May 3, 2001
- Communicated by: Juha M. Heinonen
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 53-57
- MSC (2000): Primary 30C10, 41A17
- DOI: https://doi.org/10.1090/S0002-9939-01-06178-0
- MathSciNet review: 1855619