Uniform approximation by multivariate quasi-projection operators

Autor:	Kolomoitsev, Yurii, Skopina, Maria
Rok vydání:	2020
Předmět:	Mathematics - Classical Analysis and ODEs Mathematics - Numerical Analysis 41A25 41A17 41A15 42B10 94A20 97N50
Druh dokumentu:	Working Paper
Popis:	Approximation properties of quasi-projection operators $Q_j(f,\varphi, \widetilde{\varphi})$ are studied. Such an operator is associated with a function $\varphi$ satisfying the Strang-Fix conditions and a tempered distribution $\widetilde{\varphi}$ such that compatibility conditions with $\varphi$ hold. Error estimates in the uniform norm are obtained for a wide class of quasi-projection operators defined on the space of uniformly continuous functions and on the anisotropic Besov spaces. Under additional assumptions on $\varphi$ and $\widetilde{\varphi}$, two-sided estimates in terms of realizations of the $K$-functional are also obtained. Comment: arXiv admin note: text overlap with arXiv:2006.13272
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2008.06977 Zobrazit plný text záznamu View this record from Arxiv