4 papers · 1 filter
A divided difference identity for a class of multiple integrals
Michael S. Floater
We derive an identity that relates a class of multiple integrals involving Vandermonde polynomials to divided differences. Alternatively the identity can be viewed as an integral f…
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…
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…
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…