Title
Sampling inequalities in Sobolev spaces.
Abstract
Sampling inequalities in the Sobolev space Wr,p(Ω), where Ω is a domain of Rn, are defined as relations like|u|l,q,Ω≤C(dr−l−n(1/p−1/q)|u|r,p,Ω+dn/q−l(∑a∈A|u(a)|p)1/p),l≤ℓ, for suitable values of r, p, q and ℓ. In this statement, u denotes a function in Wr,p(Ω), A is a discrete set in Ω¯ and d=supx∈Ωinfa∈A|x−a|.
Year
DOI
Venue
2014
10.1016/j.jat.2014.03.007
Journal of Approximation Theory
Keywords
Field
DocType
Sampling inequality,Sobolev space,Spline,Bound for intermediate semi-norms
Spline (mathematics),Interpolation error,Mathematical analysis,Sobolev space,Sampling (statistics),Mathematics
Journal
Volume
ISSN
Citations 
182
0021-9045
0
PageRank 
References 
Authors
0.34
11
2
Name
Order
Citations
PageRank
Rémi Arcangéli1292.74
Juan José Torrens2364.06