Approximation by translates of a single function of functions in space induced by the convolution with a given function

Dinh Dũng, Charles A. Micchelli and Vu Nhat Huy

Applied Mathematics and Computation, 2019, vol. 361, issue C, 777-787

Abstract: We study approximation by arbitrary linear combinations of n translates of a single function of periodic functions. We construct some linear methods of this approximation for functions in a class induced by the convolution with a given function, and prove upper bounds of the Lp-approximation convergence rate by these methods, when n → ∞, for 1 < p < ∞. We also prove a lower bound of the quantity of best approximation of this class by arbitrary linear combinations of n translates of arbitrary function, for the particular case p=2.

Keywords: Function spaces induced by the convolution with a given function; Reproducing kernel Hilbert space; Approximation by arbitrary linear combinations of n translates of a single function (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300319304990
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:361:y:2019:i:c:p:777-787

DOI: 10.1016/j.amc.2019.06.034

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().