@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} }