Unconditional constants and polynomial inequalities

Bogdan Grecu; G. Munoz; J. Seoane

doi:10.1016/j.jat.2008.12.001

Unconditional constants and polynomial inequalities

Bogdan Grecu, G. Munoz, J. Seoane

School of Mathematics and Physics

Research output: Contribution to journal › Article › peer-review

25 Citations (Scopus)

295 Downloads (Pure)

Abstract

If P is a polynomial on Rm of degree at most n then we define the polynomial |P|. Now if B is a convex compact set in Rm, we define the norm ||P||B of P as the maximum of P on B, and then we investigate the inequality || |P| ||B

Original language	English
Pages (from-to)	706-722
Number of pages	17
Journal	Journal of Approximation Theory
Volume	161
Issue number	2
Early online date	30 Dec 2008
DOIs	https://doi.org/10.1016/j.jat.2008.12.001
Publication status	Published - Dec 2009

ASJC Scopus subject areas

General Mathematics
Analysis
Applied Mathematics
Numerical Analysis

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title = "Unconditional constants and polynomial inequalities",

abstract = "If P is a polynomial on Rm of degree at most n then we define the polynomial |P|. Now if B is a convex compact set in Rm, we define the norm ||P||B of P as the maximum of P on B, and then we investigate the inequality || |P| ||B",

author = "Bogdan Grecu and G. Munoz and J. Seoane",

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T1 - Unconditional constants and polynomial inequalities

AU - Grecu, Bogdan

AU - Munoz, G.

AU - Seoane, J.

PY - 2009/12

Y1 - 2009/12

N2 - If P is a polynomial on Rm of degree at most n then we define the polynomial |P|. Now if B is a convex compact set in Rm, we define the norm ||P||B of P as the maximum of P on B, and then we investigate the inequality || |P| ||B

AB - If P is a polynomial on Rm of degree at most n then we define the polynomial |P|. Now if B is a convex compact set in Rm, we define the norm ||P||B of P as the maximum of P on B, and then we investigate the inequality || |P| ||B

U2 - 10.1016/j.jat.2008.12.001

DO - 10.1016/j.jat.2008.12.001

M3 - Article

SN - 0021-9045

VL - 161

SP - 706

EP - 722

JO - Journal of Approximation Theory

JF - Journal of Approximation Theory

IS - 2

ER -

Unconditional constants and polynomial inequalities

Abstract

ASJC Scopus subject areas

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