Abstract
AbstractIn this paper we establish a variation-diminishing type estimate for the multivariate Kantorovich sampling operators with respect to the concept of multidimensional variation introduced by Tonelli. A sharper estimate can be achieved when step functions with compact support (digital images) are considered. Several examples of kernels have been presented.
Funder
Università degli Studi di Perugia
Gruppo Nazionale per l’Analisi Matematica, la Probabilità e le loro Applicazioni
Fondazione Cassa di Risparmio di Perugia
Publisher
Springer Science and Business Media LLC
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