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Multidimensional sampling-Kantorovich operators in BV-spaces

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Abstract 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… Click to show full abstract

Abstract 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.

Keywords: multidimensional sampling; sampling kantorovich; operators spaces; kantorovich operators

Journal Title: Open Mathematics
Year Published: 2023

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