Density of multivariate homogeneous polynomials on star like domains
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.09.007
Abstract: Abstract The famous Weierstrass theorem asserts that every continuous function on a compact set in R d can be uniformly approximated by algebraic polynomials. A related interesting problem consists in studying the same question for… read more here.
Keywords: star like; like domains; homogeneous polynomials; non convex ... See more keywords
Extreme 2-homogeneous polynomials on the plane with a hexagonal norm and applications to the polarization and unconditional constants
Sign Up to like & getrecommendations! Published in 2017 at "Studia Scientiarum Mathematicarum Hungarica"
DOI: 10.1556/012.2017.54.3.1371
Abstract: We classify the extreme 2-homogeneous polynomials on ℝ 2 with the hexagonal norm of weight ½. As applications, using its extreme points with the Krein-Milman Theorem, we explicitly compute the polarization and unconditional constants of… read more here.
Keywords: unconditional constants; homogeneous polynomials; polarization unconditional; extreme homogeneous ... See more keywords