FRACTAL INTERPOLATION FUNCTIONS ON AFFINE FRACTAL INTERPOLATION CURVES-Reference-Cited by-同舟云学术

FRACTAL INTERPOLATION FUNCTIONS ON AFFINE FRACTAL INTERPOLATION CURVES

Published:2021-03 Issue:02 Volume:29 Page:2150046
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

RI SONGIL¹^ORCID,NAM SONGMIN²,KIM HYONCHOL³^ORCID

Affiliation:

1. Faculty of Mathematics, University of Science, Pyongyang, DPR Korea

2. Faculty of Management, Pyongyang University of Transport, Pyongyang, DPR Korea

3. Faculty of Mathematics, Kim Il Sung University, Pyongyang, DPR Korea

Abstract

In this paper, we give fractal interpolation functions generated on some special affine fractal interpolation curve by harmonic functions of fractal analysis. In the case of Koch Curve, same statement is regarded as a corollary, that is, we show that it is possible to ensure that graphs of fractal interpolation functions on the Koch Curve are attractors of iterated function systems. In the case of fractal interpolation functions generated on general affine fractal interpolation curves by harmonic functions of fractal analysis, all the discussions are similar to those performed in some special affine fractal interpolation curve if their harmonic structures are given.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X21500468

Reference30 articles.

1. Analysis on Fractals

2. Fractal functions and interpolation

3. Bilinear fractal interpolation and box dimension

4. Box-counting dimensions of fractal interpolation surfaces derived from fractal interpolation functions

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