In this paper we study the convergence properties of certain semi-discrete exponential-type sampling series in a multidimensional frame. In particular, we obtain an asymptotic formula of Voronovskaya type, which give a precise order of approximation in the space of continuous functions and we give some particular example illustrating the theory. Applications to the study of the seismic waves are illustrated
Semi-discrete operators in multivariate setting: convergence properties and applications
Carlo Bardaro;Ilaria Mantellini
;Marco Seracini
2023
Abstract
In this paper we study the convergence properties of certain semi-discrete exponential-type sampling series in a multidimensional frame. In particular, we obtain an asymptotic formula of Voronovskaya type, which give a precise order of approximation in the space of continuous functions and we give some particular example illustrating the theory. Applications to the study of the seismic waves are illustratedFile in questo prodotto:
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