Abstract
We prove some estimates with respect to the Tonelli variation for the multidimensional generalized sampling operators and for a class of sampling-Kantorovich type operators in terms of the Tonelli integrals. As a consequence, we obtain an estimate for the total variation of the same operators.
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Vinti G., Angeloni L. (2021) "Estimates in variation for multivariate sampling-type operators
" Dolomites Research Notes on Approximation, 14(2), 1-9. DOI: 10.14658/PUPJ-DRNA-2021-2-2
Year of Publication
2021
Journal
Dolomites Research Notes on Approximation
Volume
14
Issue Number
2
Start Page
1
Last Page
9
Date Published
04/2021
ISSN Number
2035-6803
Serial Article Number
2
DOI
10.14658/PUPJ-DRNA-2021-2-2
Issue
Section
SpecialIssue