Partial shape preserving approximations by bivariate Shepard operators (Q5948817)
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scientific article; zbMATH DE number 1672041
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Partial shape preserving approximations by bivariate Shepard operators |
scientific article; zbMATH DE number 1672041 |
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Partial shape preserving approximations by bivariate Shepard operators (English)
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12 November 2001
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The authors prove that the bivariate Shepard interpolation operators preserve the monotonicity and the convexity of bivariate functions in neighbourhoods of certain points. This extends results for the univariate case obtained by \textit{S. G. Gal} and \textit{J. Szabados} [Partial shape preserving approximation by interpolation operators, in functions, series, operators, Proc. Alexits Memorial Int. Conf, Budapest (Academic Press, Budapest) (1999)].
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