Paper Info
Title
The L2-approximation order of surface spline interpolation
Abstract
We show that if the open, bounded domain Rd has a suf- ciently smooth boundary and if the data function f is suciently smooth, then the Lp()-norm of the error between f and its surface spline interpolant is O(p+1=2 )( 1 p 1), where p := minfm;m d= 2+ d=pg and m is an integer parameter specifying the surface spline. In case p =2 , this lower bound on the approximation order agrees with a previously obtained upper bound, and so we conclude that the L2-approximation order of surface spline interpolation is m +1 =2.
Year
DOI
Venue
2001
10.1090/S0025-5718-00-01301-6
Math. Comput.
Keywords
DocType
Volume
L2-approximation order,surface spline,scattered data.,. interpolation,surface spline interpolation,approximation order
Journal
70
Issue
ISSN
Citations 
234
0025-5718
1
PageRank 
References 
Authors
0.43
1
1
Name
Order
Citations
PageRank
Michael J. Johnson1407.82