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Polynomial Inequalities on the π/4-Circle Sector

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Araujo, G. and Jiménez Rodríguez, P. and Muñoz-Fernández, Gustavo A. and Seoane-Sepúlveda, Juan B. (2017) Polynomial Inequalities on the π/4-Circle Sector. Journal of Convex Analysis, 24 (3). ISSN 0944-6532

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Official URL: https://arxiv.org/abs/1503.06607


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Abstract

A number of sharp inequalities are proved for the space P (2D (π/4)) of 2-homogeneous polynomials on ℝ2 endowed with the supremum norm on the sector D (π/4) := {eiθ : θ ∈ [0, π/4]}. Among the main results we can find sharp Bernstein and Markov inequalities and the calculation of the polarization constant and the unconditional constant of the canonical basis of the space P (2D (π/4)).


Item Type:Article
Uncontrolled Keywords:Bernstein and Markov inequalities; Unconditional constants; Polarizations constants; Polynomial inequalities; Homogeneous polynomials; Extreme points.
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:43805
Deposited On:11 Jul 2017 08:11
Last Modified:11 Jul 2017 10:21

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