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Partial shape preserving approximations by bivariate shepard operators

โœ Scribed by G.A. Anastassiou; S.G. Gal


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
457 KB
Volume
42
Category
Article
ISSN
0898-1221

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Partial shape preserving approximation b
โœ G.A. Anastassiou; S.G. Gal ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 354 KB

Extending the results from the univariate case in a paper by Gal and Szabados, in this paper, we prove that the bivariate interpolation operators of Hermite-Fej@r preserve some kinds of monotonicity and convexity of bivariate functions, in the neighborhoods of some points. Also, quantitative results