Igor E. Pritsker  Home/Search
Context Related
| okstate.edu/~igor/2000b.ps Cached: PDF This document uses CoBlitz to cache paper downloads. If your firewall is blocking outgoing connections to port 3125, you can use these links to download local copies.
PS.gz PS Image Update HelpFrom: okstate.edu/~igor/papers (more) (Enter author homepages) |
Rate this article:      (best)Comment on this article |
Abstract: . We study inequalities connecting a product of uniform norms of polynomials with the norm of their product. Generalizing Gel'fond-Mahler inequality for the unit disk and Kneser-Borwein inequality for the segment [ 1; 1], we prove an asymptotically sharp inequality for norms of products of algebraic polynomials over an arbitrary compact set in plane. Applying similar techniques, we produce a related inequality for the norm of a single monic factor of a monic polynomial. The best constants in... (Update)
Similar documents based on text: More All
0.4: A Sharp Version of Mahler's Inequality for Products of.. - Kroó, Pritsker (Correct)
0.3: Comparing Norms of Polynomials in One and Several Variables - Pritsker (1997) (Correct)
0.2: The Gelfond-Schnirelman Method In Prime Number Theory - Pritsker (Correct)
BibTeX entry: (Update)
I. E. Pritsker, Products of polynomials in uniform norms, to appear in Trans. Amer. Math. Soc. NORMS OF PRODUCTS AND FACTORS POLYNOMIALS 17 http://citeseer.ist.psu.edu/pritsker00norms.html More
@misc{ pritsker-norms,
author = "I. Pritsker and P. polynomials and i norms and t in and T. Amer and M.
Soc",
title = "NORMS OF PRODUCTS AND FACTORS POLYNOMIALS",
text = "I. E. Pritsker, Products of polynomials in uniform norms, to appear in
Trans. Amer. Math. Soc. NORMS OF PRODUCTS AND FACTORS POLYNOMIALS 17",
url = "citeseer.ist.psu.edu/pritsker00norms.html" }
Citations (may not include all citations):57 Polynomials and Polynomial Inequalities (context) - Borwein, Erd - 1995
23 Potential Theory in the Complex Plane (context) - Ransford - 1995
17 Some useful bounds (context) - Mignotte - 1982
11 An application of Jensen's formula to polynomials (context) - Mahler - 1960
9 On some inequalities for polynomials in several variables (context) - Mahler - 1962
6 Department of Mathematics (context) - Tsuji, in et al. - 1975
6 Two sharp inequalities for the norm of a factor of a polynom.. (context) - Boyd - 1992
5 Sharp inequalities for the product of polynomials (context) - Boyd - 1994
4 Exact inequalities for the norms of factors of polynomials (context) - Borwein - 1994
3 type theorems for the zeros of best approximants (context) - Blatt, Sa et al. - 1988
3 Nouvelle majoration de la norme des facteurs d'un polyn^ome (context) - Glesser - 1990
2 Bounds for the height of a factor of a polynomial in terms o.. (context) - Boyd - 1993
2 Bounds for the height of a factor of a polynomial in terms o.. (context) - Boyd - 1993
2 Transcendental and Algebraic Numbers (context) - Gel'fond - 1960
2 uber das Verhalten von Polynomen auf Kontinuen (context) - Aumann - 1933
[Article contains additional citations not shown here]
Documents on the same site (http://www.math.okstate.edu/~igor/papers.html): More
Ray Sequences Of Laurent-Type Rational Functions - Pritsker (1996) (Correct)
Rational Approximation With Varying Weights in the Complex Plane - Pritsker, Varga (1998) (Correct)
Polynomial Approximation with Varying Weights on Compact Sets of .. - Pritsker (Correct)
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC