Mathematical Sciences: Faculty Presentations (1991-2022)
Polynomial Approximation on a Sparse Grid
Document Type
Presentation
Presentation Date
5-22-2016
Copyright
This work is archived and distributed under the repository's Standard Copyright and Reuse License (opens in new tab). End users may copy, store, and distribute this work without restriction. For all other uses, permission must be obtained from the copyright owners or their authorized agents.
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.
Sponsorship/Conference/Institution
International Conference on Approximation Theory (AT)
Location
San Antonio, TX
Recommended Citation
Kersey, Scott N..
2016.
"Polynomial Approximation on a Sparse Grid."
Mathematical Sciences: Faculty Presentations (1991-2022).
Presentation 219.
https://digitalcommons.georgiasouthern.edu/math-sci-facpres/219
