Behavior of bivariate interpolation operators at points of discontinuity of the first kind

Authors

  • Michele Campiti
  • Giusy Mazzone
  • Cristian Tacelli

DOI:

https://doi.org/10.1285/i15900932v31n1p43

Keywords:

Index of Convergence, Interpolation, Bivariate Lagrange Operators, Bivariate Shepard Operators

Abstract

We introduce an index of convergence for double sequences of real numbers. This index is used to describe the behaviour of some bivariate interpolation sequences at points of discontinuity of the first kind. We consider in particular the case of bivariate Lagrange and Shepard operators.

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Published

15-01-2012

Issue

Volume 31, Issue 1 (2011)

Section

Articoli

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http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode