We first determine the asymptotes of the -covering numbers of Hölder-Zygmund type spaces on data-defined manifolds. Secondly, a fully discrete and finite algorithmic scheme is developed providing explicit -coverings whose cardinality is asymptotically near the -covering number. Given an arbitrary Hölder-Zygmund type function, the nearby center of a ball in the -covering can also be computed in a discrete finite fashion.
Martin Ehler. Frank Filbir. "-Coverings of Hölder-Zygmund Type Spaces on Data-Defined Manifolds." Abstr. Appl. Anal. 2014 (SI64) 1 - 6, 2014. https://doi.org/10.1155/2014/402918