Rate-optimal sparse approximation of compact break-of-scale embeddings

Autor:	Byrenheid, Glenn, Hübner, Janina, Weimar, Markus
Rok vydání:	2022
Předmět:	Mathematics - Numerical Analysis Mathematics - Functional Analysis 42C40 41A25 46E35 41A45 41A46
Druh dokumentu:	Working Paper
Popis:	The paper is concerned with the sparse approximation of functions having hybrid regularity borrowed from the theory of solutions to electronic Schr\"odinger equations due to Yserentant [43]. We use hyperbolic wavelets to introduce corresponding new spaces of Besov- and Triebel-Lizorkin-type to particularly cover the energy norm approximation of functions with dominating mixed smoothness. Explicit (non-)adaptive algorithms are derived that yield sharp dimension-independent rates of convergence. Comment: 35 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2203.10011 Zobrazit plný text záznamu View this record from Arxiv