Affiliation:
1. School of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210023, P. R. China
Abstract
In this paper, we construct a new kind of weighted recursive iteration function system (IFS) and prove the existence of the unique attractor for the kind of IFS based on the Matkowski fixed point theorem. We confirm that the attractor is a bivariate fractal interpolation surface (FIS), which interpolates a given set of data. In addition, we also provide an upper error estimate of such FISs caused by changes of weights. Finally, we give their box dimension estimates for a specific type of the FISs.
Funder
National Natural Science Foundation of China
Graduate Research and Innovation Projects of Jiangsu Province
Publisher
World Scientific Pub Co Pte Ltd