Advanced search
Publication Cover
Applicable Analysis
An International Journal
Volume 90, 2011 - Issue 3-4: Approximation Theory and Signal Analysis, a special issue in honour of Professor Paul Leo Butzer
Submit an article Journal homepage
191
Views
29
CrossRef citations to date
0
Altmetric
Original Articles

Spline interpolation on sparse grids

Winfried Sickel Mathematical Institute, Friedrich-Schiller-University, D-07737 Jena, Germany
&
Tino Ullrich Hausdorff-Center for Mathematics, 53115 Bonn, GermanyCorrespondence[email protected]
Pages 337-383 | Received 13 Nov 2009, Accepted 23 Apr 2010, Published online: 21 Sep 2010
 
Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days

Abstract

We investigate the rate of convergence of interpolating splines with respect to sparse grids for Besov spaces of dominating mixed smoothness (tensor product Besov spaces). Main emphasis is given to the approximation by piecewise linear functions.

AMS Subject Classifications::

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related Research Data

Optimization of black-box problems using Smolyak grids and polynomial approximations
Source: Springer Science and Business Media LLC
Approximation of Mixed Order Sobolev Functions on the d-Torus: Asymptotics, Preasymptotics, and d-Dependence
Source: arXiv

Linking provided by 

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.