Bivariate Fractal Interpolation Functions on Rectangular Domains

Bivariate Fractal Interpolation Functions on Rectangular Domains

Year:    2002

Author:    Xiao-Yuan Qian

Journal of Computational Mathematics, Vol. 20 (2002), Iss. 4 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2002-JCM-8923

Journal of Computational Mathematics, Vol. 20 (2002), Iss. 4 : pp. 349–362

Published online:    2002-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Fractal Bivariate functions Interpolation.

Author Details

Xiao-Yuan Qian