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math.NA2026
Constrained Kolmogorov widths
Ronald DeVore, Guergana Petrova, Jonathan W. Siegel +1
The main theme of approximation theory is to understand how well a general function can be approximated by a simpler function such as a polynomial or spline. In many applic…
math.NA2026
Sampling and reconstruction of convex functions
Andrea Bonito, Albert Cohen, Wolfgang Dahmen +3
We discuss optimal recovery for classes of multivariate convex functions from given point samples, as well as the sampling numbers of these classes, corresponding to optimal sample…
math.NA2024
Sharp Lower Bounds on the Manifold Widths of Sobolev and Besov Spaces
Jonathan W. Siegel
We consider the problem of determining the manifold -widths of Sobolev and Besov spaces with error measured in the -norm. The manifold widths control how efficiently these…