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Quasi-projection operators with applications to differential-difference expansions. / Costarelli, D.; Krivoshein, A.; Skopina, M.; Vinti, G.

In: Applied Mathematics and Computation, Vol. 363, 124623, 15.12.2019.

Research output: Contribution to journal › Article › peer-review

Harvard

Costarelli, D, Krivoshein, A, Skopina, M & Vinti, G 2019, 'Quasi-projection operators with applications to differential-difference expansions', Applied Mathematics and Computation, vol. 363, 124623. https://doi.org/10.1016/j.amc.2019.124623

APA

Costarelli, D., Krivoshein, A., Skopina, M., & Vinti, G. (2019). Quasi-projection operators with applications to differential-difference expansions. Applied Mathematics and Computation, 363, [124623]. https://doi.org/10.1016/j.amc.2019.124623

Vancouver

Costarelli D, Krivoshein A, Skopina M, Vinti G. Quasi-projection operators with applications to differential-difference expansions. Applied Mathematics and Computation. 2019 Dec 15;363. 124623. https://doi.org/10.1016/j.amc.2019.124623

Author

Costarelli, D. ; Krivoshein, A. ; Skopina, M. ; Vinti, G. / Quasi-projection operators with applications to differential-difference expansions. In: Applied Mathematics and Computation. 2019 ; Vol. 363.

BibTeX

@article{2aa8665a5b4942be9ac08365cb095e96,
title = "Quasi-projection operators with applications to differential-difference expansions",
abstract = "A large class of multivariate quasi-projection operators is studied. These operators are sampling-type expansions ∑k∈Zd ck(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 < ∞, are obtained under the so-called weak compatibility conditions for ψ˜ and ψ, and the Strang-Fix conditions for ψ. Approximation order depends on the smoothness of f and on the order of the compatibility and the Strang-Fix conditions. A number of examples aimed at engineering applications are provided. A special attention is payed to the quasi-projection operators associated with differential-difference expansions. Applications to solving some differential-difference equations are presented.",
keywords = "Approximation order, Differential-difference operator, Sampling-type expansion, Strang-Fix conditions",
author = "D. Costarelli and A. Krivoshein and M. Skopina and G. Vinti",
year = "2019",
month = dec,
day = "15",
doi = "10.1016/j.amc.2019.124623",
language = "English",
volume = "363",
journal = "Applied Mathematics and Computation",
issn = "0096-3003",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Quasi-projection operators with applications to differential-difference expansions

AU - Costarelli, D.

AU - Krivoshein, A.

AU - Skopina, M.

AU - Vinti, G.

PY - 2019/12/15

Y1 - 2019/12/15

N2 - A large class of multivariate quasi-projection operators is studied. These operators are sampling-type expansions ∑k∈Zd ck(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 < ∞, are obtained under the so-called weak compatibility conditions for ψ˜ and ψ, and the Strang-Fix conditions for ψ. Approximation order depends on the smoothness of f and on the order of the compatibility and the Strang-Fix conditions. A number of examples aimed at engineering applications are provided. A special attention is payed to the quasi-projection operators associated with differential-difference expansions. Applications to solving some differential-difference equations are presented.

AB - A large class of multivariate quasi-projection operators is studied. These operators are sampling-type expansions ∑k∈Zd ck(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 < ∞, are obtained under the so-called weak compatibility conditions for ψ˜ and ψ, and the Strang-Fix conditions for ψ. Approximation order depends on the smoothness of f and on the order of the compatibility and the Strang-Fix conditions. A number of examples aimed at engineering applications are provided. A special attention is payed to the quasi-projection operators associated with differential-difference expansions. Applications to solving some differential-difference equations are presented.

KW - Approximation order

KW - Differential-difference operator

KW - Sampling-type expansion

KW - Strang-Fix conditions

UR - http://www.scopus.com/inward/record.url?scp=85069966691&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/quasiprojection-operators-applications-differentialdifference-expansions

U2 - 10.1016/j.amc.2019.124623

DO - 10.1016/j.amc.2019.124623

M3 - Article

AN - SCOPUS:85069966691

VL - 363

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

SN - 0096-3003

M1 - 124623

ER -

ID: 45798901