English

Shearlet approximation of functions with discontinuous derivatives

Functional Analysis 2016-01-13 v8

Abstract

We demonstrate that shearlet systems yield superior NN-term approximation rates compared with wavelet systems of functions whose first or higher order derivatives are smooth away from smooth discontinuity curves. We will also provide an improved estimate for the decay of shearlet coefficients that intersect a discontinuity curve non-tangentially.

Keywords

Cite

@article{arxiv.1508.00409,
  title  = {Shearlet approximation of functions with discontinuous derivatives},
  author = {Philipp Petersen},
  journal= {arXiv preprint arXiv:1508.00409},
  year   = {2016}
}
R2 v1 2026-06-22T10:24:57.899Z