Suboptimal Polynomial Meshes on Planar Lipschitz Domains |
| |
| Authors: | F. Piazzon |
| |
| Affiliation: | Department of Mathematics , University of Padova , Padova , Italy |
| |
| Abstract: | We construct norming meshes with cardinality 𝒪(n s ), s = 3, for polynomials of total degree at most n on the closure of bounded planar Lipschitz domains. Such cardinality is intermediate between optimality (s = 2), recently obtained by Kroó on multidimensional C 2 star-like domains, and that arising from a general construction on Markov compact sets due to Calvi and Levenberg (s = 4). |
| |
| Keywords: | Norming sets Polynomial inequalities Polynomial admissible meshes Planar lipschitz domains |
|
|
