3 papers
math.NA2019
On best constants in approximation
Andrea Bressan, Michael S. Floater, Espen Sande
In this paper we provide explicit upper and lower bounds on certain -widths, i.e., best constants in approximation. We further describe a numerical method to compute…
math.NA2019
Transfinite mean value interpolation over polygons
Michael S. Floater, Francesco Patrizi
Mean value interpolation is a method for fitting a smooth function to piecewise-linear data prescribed on the boundary of a polygon of arbitrary shape, and has applications in comp…
math.NA2019
A characterization of supersmoothness of multivariate splines
Michael S. Floater, Kaibo Hu
We consider spline functions over simplicial meshes in $\RR^n$. We assume that the spline pieces join together with some finite order of smoothness but the pieces themselves are in…