Affiliation:
1. Department of Mathematics and Computer Sciences University of Perugia Via Vanvitelli 1 Perugia I‐06123 Italy
2. Department of Physics and Astronomy University of Bologna Via Berti Pichat 6/2 Bologna 04127 Italy
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 gives 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.
Subject
General Engineering,General Mathematics