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Bernstein-markov type inequalities and other interesting estimates for polynomials on circle sectors

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Jiménez Rodríguez, Pablo and Muñoz-Fernández, Gustavo A. and Pellegrine, D. and Seoane-Sepúlveda, Juan B. (2017) Bernstein-markov type inequalities and other interesting estimates for polynomials on circle sectors. Mathematical Inequalities and Applications, 20 (1). pp. 285-300. ISSN 1331-4343

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Abstract

In this paper we study various polynomial inequalities for 2-homogeneous polynomials on the circular sector {rei: r Ε [0,1]Ε [0, 2]}. In particular, we obtain sharp Bernstein and Markov inequalities for such polynomials, we calculate the polarization constant of the space formed by those polynomials and, finally, we provide the unconditional basis constant of the canonical basis of that polynomial space.


Item Type:Article
Uncontrolled Keywords:Bernstein and Markov inequalities; Extreme points; Homogeneous polynomials; Polarizations constants; Polynomial inequalities; Unconditional constants
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:42103
Deposited On:05 Apr 2017 10:17
Last Modified:05 Apr 2017 11:09

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