Quasi-projection operators with applications to differential-difference expansions

Quasi-projection operators with applications to differential-difference expansions

A large class of multivariate quasi-projection operators is studied. These operators are sampling-type expansions ∑k∈Zdck(f)ψ(Aj·−k), where A is a matrix and the coefficients ck(f) are associated with a tempered distribution ψ˜. Error estimates in Lp-norm, 2 ≤ p 

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Veröffentlicht in:Applied mathematics and computation 2019-12, Vol.363, p.124623, Article 124623
Hauptverfasser: Costarelli, D., Krivoshein, A., Skopina, M., Vinti, G.
Format: Artikel
Sprache:eng
Schlagworte:
Approximation order
Differential-difference operator
Sampling-type expansion
Strang-Fix conditions
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Zusammenfassung:A large class of multivariate quasi-projection operators is studied. These operators are sampling-type expansions ∑k∈Zdck(f)ψ(Aj·−k), where A is a matrix and the coefficients ck(f) are associated with a tempered distribution ψ˜. Error estimates in Lp-norm, 2 ≤ p 
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2019.124623