Multidimensional sampling-Kantorovich operators in BV-spaces

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

• sampling-kantorovich operators
• convergence in variation
• multidimensional variation
• absolute continuity
• averaged-type kernels
• 26b30
• 41a35
• 41a63