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Hidden variable bivariate fractal interpolation functions and errors on perturbations of function vertical scaling factors

Chol-Hui Yun

Faculty of Mathematics, Kim Il Sung University, Pyongyang, Democratic People’s Republic of Korea

E-mail Address: ryongnam36@yahoo.com

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and

Mi-Kyong Ri

Faculty of Mathematics, Kim Il Sung University, Pyongyang, Democratic People’s Republic of Korea

E-mail Address: ryongnam19@yahoo.com

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https://doi.org/10.1142/S1793557119500219Cited by:1 (Source: Crossref)

Abstract

In this paper, we present a construction of hidden variable bivariate fractal interpolation functions (HVBFIFs) with function vertical scaling factors and estimate errors of HVBFIFs on perturbation of the function vertical scaling factor. We construct HVBFIFs on the basis of the iterated function system (IFS) with function vertical scaling factors. The perturbation of the function vertical scaling factors in the IFS causes a change in the HVBFIF. An upper estimation of the errors between the original HVBFIF and the perturbed HVBFIF is given.

Communicated by H. M. Srivastava

Keywords:

AMSC: 28A80, 81Q35, 41A05, 97N50

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