Invariance of polynomial inequalities under polynomial maps

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:439

Article

Bialas-Ciez, Leokadia¹  Calvi, Jean-Paul^2,3 

[1] Jagiellonian Univ, Fac Math & Comp Sci, Lojasiewicza 6, PL-30348 Krakow, Poland

[2] Univ Toulouse 3, Inst Math, F-31062 Toulouse 9, France

[3] CNRS, UMR 5219, F-31062 Toulouse 9, France

关键词: Polynomial maps;    Polynomial interpolation;    Admissible meshes;    Markov inequality;    Bernstein-Markov inequality;    Division inequality;   

DOI  :  10.1016/j.jmaa.2016.03.003

来源: Elsevier

【 摘 要 】

We prove the invariance under simple polynomial maps of a few useful (multivariate) polynomial inequalities. The proofs are elementary and based on an algebraic decomposition of any polynomial as a sum of polynomials, which we call q-coordinates, composed with the polynomial map q, balanced with monomials of bounded degree. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free