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.
2020
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].
Laura Angeloni; Danilo Costarelli; Marco Seracini; Gianluca Vinti; Luca Zampogni
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/917387
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