Multidimensional sampling-Kantorovich operators in BV-spaces

Multidimensional sampling-Kantorovich operators in BV-spaces

The main purpose of this article is to prove a result of convergence in variation for a family of multidimensional sampling-Kantorovich operators in the case of averaged-type kernels. The setting in which we work is that one of BV-spaces in the sense of Tonelli.

Bibliographic Details
Main Authors: Angeloni Laura, Vinti Gianluca
Format: Article
Language:English
Published: De Gruyter 2023-04-01
Series:Open Mathematics
Subjects:
sampling-kantorovich operators
convergence in variation
multidimensional variation
absolute continuity
averaged-type kernels
26b30
41a35
41a63
Online Access:https://doi.org/10.1515/math-2022-0573

Internet

https://doi.org/10.1515/math-2022-0573

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