Global smoothness preservation by bivariate interpolation operators |
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| Authors: | S. G. Gal J. Szabados |
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| Affiliation: | (1) Department of Mathematics, University of Oradea, Str. Armatei Komane 5, 3700 Oradea, Romania;(2) Alfréd Rényi Institute of Mathematics, Hungarian Academy of Science, P. O. Box 127, H-1364 Budapest, Haungary |
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| Abstract: | Extending the results of [4] in the univariate case, in this paper we prove that the bivariate interpolation polynomials of Hermite-Fejér based on the Chebyshev nodes of the first kind, those of Lagrange based on the Chebyshev nodes of second kind and ±1, and those of bivariate Shepard operators, have the property of partial preservation of global smoothness, with respect to various bivariate moduli of continuity. |
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| Keywords: | bivariate interpolation polynomials and operators bivariate moduli of continuity global smoothness preservation |
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