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Volume 20, Issue 4
Bivariate Fractal Interpolation Functions on Rectangular Domains

Xiao-Yuan Qian

J. Comp. Math., 20 (2002), pp. 349-362.

Published online: 2002-08

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  • Abstract

Non-tensor product bivariate fractal interpolation functions defined on gridded rectangular domains are constructed. Linear spaces consisting of these functions are introduced. The relevant Lagrange interpolation problem is discussed. A negative result about the existence of affine fractal interpolation functions defined on such domains is obtained.

  • Keywords

Fractal, Bivariate functions, Interpolation.

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COPYRIGHT: © Global Science Press

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@Article{JCM-20-349, author = {Qian , Xiao-Yuan}, title = {Bivariate Fractal Interpolation Functions on Rectangular Domains}, journal = {Journal of Computational Mathematics}, year = {2002}, volume = {20}, number = {4}, pages = {349--362}, abstract = {

Non-tensor product bivariate fractal interpolation functions defined on gridded rectangular domains are constructed. Linear spaces consisting of these functions are introduced. The relevant Lagrange interpolation problem is discussed. A negative result about the existence of affine fractal interpolation functions defined on such domains is obtained.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8923.html} }
TY - JOUR T1 - Bivariate Fractal Interpolation Functions on Rectangular Domains AU - Qian , Xiao-Yuan JO - Journal of Computational Mathematics VL - 4 SP - 349 EP - 362 PY - 2002 DA - 2002/08 SN - 20 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8923.html KW - Fractal, Bivariate functions, Interpolation. AB -

Non-tensor product bivariate fractal interpolation functions defined on gridded rectangular domains are constructed. Linear spaces consisting of these functions are introduced. The relevant Lagrange interpolation problem is discussed. A negative result about the existence of affine fractal interpolation functions defined on such domains is obtained.

Xiao-Yuan Qian. (1970). Bivariate Fractal Interpolation Functions on Rectangular Domains. Journal of Computational Mathematics. 20 (4). 349-362. doi:
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