Reproducing Kernel Functions for Sard Spaces of Type B

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1974 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Numerical Analysis, volume 11, pages 37-44 (issn: 0036-1429, eissn: 1095-7170,

Copyright policy )

Authors: Barnhill, Robert E.; Nielson, Gregory M.;

doi: 10.1137/0711005

Reproducing Kernel Functions for Sard Spaces of Type B

- Summary
- Subjects
- Metrics

Abstract

Optimal approximation in Hilbert spaces can be found if the space has a reproducing kernel function and if this kernel can be obtained in closed form. This paper contains the reproducing kernel function for the general Sard spaces of the type B. A numerical illustration of optimal approximation for a “nonstandard” Hilbert space is given.

Keywords

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	5
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average