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Multivariate generalized sampling type series: estimates of pointwise convergence
Author(s) -
Bardaro Carlo,
Mantellini Ilaria
Publication year - 2015
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201510315
Subject(s) - pointwise , mathematics , multivariate statistics , series (stratigraphy) , pointwise convergence , type (biology) , convergence (economics) , sampling (signal processing) , statistics , mathematical analysis , computer science , paleontology , approx , filter (signal processing) , computer vision , ecology , economics , biology , economic growth , operating system
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)