Polynomial Approximation on a Sparse Grid

Document Type

Presentation

Presentation Date

5-22-2016

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

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