On the bivariate Shepard–Lidstone operators
نویسندگان
چکیده
منابع مشابه
On the bivariate Shepard-Lidstone operators
We propose a new combination of the bivariate Shepard operators [10] by the three point Lidstone polynomials introduced in [12]. The new combination inherits both degree of exactness and Lidstone interpolation conditions at each node, which characterize the interpolation polynomial. These new operators nd application to the scattered data interpolation problem when supplementary second order d...
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We extend the Shepard-Bernoulli operators introduced in [1] to the bivariate case. These new interpolation operators are realized by using local support basis functions introduced in [2] instead of classical Shepard basis functions and the bivariate three point extension [3] of the generalized Taylor polynomial introduced by F. Costabile in [4]. The new operators do not require either the use o...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2012
ISSN: 0377-0427
DOI: 10.1016/j.cam.2011.10.001