In 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.
Laura Angeloni, Danilo Costarelli, Marco Seracini, Gianluca Vinti, Luca Zampogni (2020). Variation diminishing-type properties for multivariate sampling Kantorovich operators. BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 13(4), 595-605 [10.1007/s40574-020-00256-3].
Variation diminishing-type properties for multivariate sampling Kantorovich operators
Marco Seracini;
2020
Abstract
In 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.File in questo prodotto:
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