Presentation
Polynomial Approximation on a Sparse Grid
International Conference on Approximation Theory (AT)
Document Type
Presentation
Presentation Date
5-22-2016
Disciplines
Abstract or Description
We study polynomial approximation on a certain class of sparse grids that we call quasi-uniform. Using Boolean sum techniques combined with a Bernstein class of dual bases in subspaces, we construct quasi interpolants on these grids. Our construction achieves rates of approximation analogous to those on a tensor product grid, while retaining some geometric properties of Bernstein-Bezier surfaces.
Location
San Antonio, TX
Citation Information
Scott N. Kersey. "Polynomial Approximation on a Sparse Grid" International Conference on Approximation Theory (AT) (2016) Available at: http://works.bepress.com/scott_kersey/33/