Title
A Choquet-Deny-Type Theorem And Applications To Approximation In Weighted Spaces
Keywords
Choquet-Deny theorem; Convex cone; Inf-lattice; Interpolation; Korovkin closure; Stone-Weierstrass theorem; Weighted space
Abstract
We present a Choquet-Deny-type theorem in weighted spaces together with an application to simultaneous approximation and interpolation from inf-lattices generated by convex sets. Moreover, we determine a characterization of the Korovkin closure of vector lattices and, as a consequence, a different proof of the Stone-Weierstrass theorem for some weighted spaces. © 2005 Birkhäuser Verlag, Basel/Switzerland.
Publication Date
12-1-2005
Publication Title
Mediterranean Journal of Mathematics
Volume
2
Issue
4
Number of Pages
407-416
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1007/s00009-005-0054-6
Copyright Status
Unknown
Socpus ID
29844444920 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/29844444920
STARS Citation
Kashimoto, Márcia and Nashed, Zuhair, "A Choquet-Deny-Type Theorem And Applications To Approximation In Weighted Spaces" (2005). Scopus Export 2000s. 3454.
https://stars.library.ucf.edu/scopus2000/3454