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.
Estimates in variation for multivariate sampling-type operators
Laura Angeloni;Gianluca Vinti
2021
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.File in questo prodotto:
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