PAMM
Volume 15, Issue 1 pp. 651-652
Section 21
Free Access

Multivariate generalized sampling type series: estimates of pointwise convergence

Carlo Bardaro, 

Corresponding Author

Carlo Bardaro

Department of Mathematics and Computer Sciences, University of Perugia, Via Vanvitelli 1, 06123 Perugia, Italy

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Ilaria Mantellini, 

Ilaria Mantellini

Department of Mathematics and Computer Sciences, University of Perugia, Via Vanvitelli 1, 06123 Perugia, Italy

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First published: 21 October 2015
https://doi.org/10.1002/pamm.201510315

Abstract

In this short note we consider suitable linear combinations of Bochner-Riesz type multivariate sampling series, which greatly improve the order of pointwise approximation. In particular we state some asymptotic formulae of Voronovskaja type which are of interest in image reconstruction. (© 2015 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)

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