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


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.

DOI Code: 10.1285/i15900932v31n1p43

Keywords: Index of Convergence ; Interpolation ; Bivariate Lagrange Operators ; Bivariate Shepard Operators

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