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 - <p style="text-align: justify;">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.</p>