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.
Variation diminishing-type properties for multivariate sampling Kantorovich operators / Laura Angeloni; Danilo Costarelli; Marco Seracini; Gianluca Vinti; Luca Zampogni. - In: BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA. - ISSN 1972-6724. - ELETTRONICO. - 13:4(2020), pp. 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 | Dimensione | Formato | |
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Variation diminishing-type properties for multivariate sampling Kantorovich operators.pdf
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