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On Birkhoff interpolation by polynomials in several variables
Institution:Ji''an Teachers College, Ji''an, Jiangxi, 343009, Republic of China
Abstract:Chui and Lai (1987) have discussed a kind of multivariate polynomial interpolation problem defined on the straight line type node configuration C (SLTNCC). In this paper, we define general Birkhoff interpolation problems for the SLTNCC, and show, under some restrictions, that these interpolation problems are unisolvent. Also we give some generalizations of the SLTNCC.
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