A large class of multivariate quasi-projection operators is studied. These operators are sampling-type expansions. 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.

Quasi-projection operators with applications to differential-difference expansions

Costarelli D.
Membro del Collaboration Group
;
Vinti G.
Membro del Collaboration Group
2019

Abstract

A large class of multivariate quasi-projection operators is studied. These operators are sampling-type expansions. 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.
2019
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1457011
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