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International Journal of Computer Mathematics Volume 90, 2013 - Issue 3
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Section B

Analytical properties of bivariate fractal interpolation functions with vertical scaling factor functions

Jiabing Ji School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, 710049, ChinaCorrespondence[email protected]
&
Jigen Peng School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, 710049, China
Pages 539-553 | Received 29 Aug 2011, Accepted 10 Aug 2012, Published online: 17 Sep 2012
 
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Abstract

Based on the construction of bivariate fractal interpolation functions (FIFs), a class of FIFs with vertical scaling factor functions are presented and the analytical properties of smoothness and stability are proved.

2000 AMS Subject Classifications::

Acknowledgements

This work was supported by the Natural Science Foundation of China under contact nos. 11131006 and 60970149.

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