Geodesic
On norms of factors of multivariate polynomials on convex bodies
Electronic transactions on numerical analysis, Tome 25 (2006), pp. 201-205
Estimation of norms of factors of polynomials is a widely investigated extremal problem with numerous applications in functional analysis, number theory, approximation theory. In this note we study the following problem: let be a convex body in and consider a product of polynomials , where is arbitrary and is a $\textcent \sterling $#############$\ddot $§

$###$

§ monic multivariate polynomial. The goal is to find an upper bound for the uniform norm of on provided that

$###$

Classification : 41A17, 41A63
Keywords: multivariate polynomials, norms of factors, convex bodies 
@article{ETNA_2006__25__a18,
     author = {Kro\'o,  Andr\'as},
     title = {On norms of factors of multivariate polynomials on convex bodies},
     journal = {Electronic transactions on numerical analysis},
     pages = {201--205},
     year = {2006},
     volume = {25},
     zbl = {1107.41012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2006__25__a18/}
}
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%A Kroó,  András
%T On norms of factors of multivariate polynomials on convex bodies
%J Electronic transactions on numerical analysis
%D 2006
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%F ETNA_2006__25__a18
Kroó,  András. On norms of factors of multivariate polynomials on convex bodies. Electronic transactions on numerical analysis, Tome 25 (2006), pp. 201-205. http://geodesic.mathdoc.fr/item/ETNA_2006__25__a18/