Abstract | ||
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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 |
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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 Arcangéli | 1 | 29 | 2.74 |
Juan José Torrens | 2 | 36 | 4.06 |