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• W2162677194 abstract "We propose a new combination of the bivariate Shepard operators (Coman and Trîmbiţaş, 2001 [2]) by the three point Lidstone polynomials introduced in Costabile and Dell’Accio (2005) [7]. The new combination inherits both degree of exactness and Lidstone interpolation conditions at each node, which characterize the interpolation polynomial. These new operators find application to the scattered data interpolation problem when supplementary second order derivative data are given (Kraaijpoel and van Leeuwen, 2010 [13]). Numerical comparison with other well known combinations is presented." @default.
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• W2162677194 date "2012-01-01" @default.
• W2162677194 modified "2023-09-27" @default.
• W2162677194 title "On the bivariate Shepard–Lidstone operators" @default.
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• W2162677194 doi "https://doi.org/10.1016/j.cam.2011.10.001" @default.
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