| A Note on General Frames for Bivariate Interpolation |
| Received:April 29, 2007 Revised:September 07, 2007 |
| Key Words:
continued fractions blending rational interpolant unattainable point.
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| Fund Project:the National Natural Science Foundation of China (No.60473114); the Anhui Provincial Natural Science Foundation (No.070416227); the Key Project Foundation of the Department of Education of Anhui Province (No.KJ2008A027). |
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| Abstract: |
| Newton interpolation and Thiele-type continued fractions interpolation may be the favoured linear interpolation and nonlinear interpolation, but these two interpolations could not solve all the interpolant problems. In this paper, several general frames are established by introducing multiple parameters and they are extensions and improvements of those for the general frames studied by Tan and Fang. Numerical examples are given to show the effectiveness of the results in this paper. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2009.04.016 |
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