NONLINEAR FRACTAL INTERPOLATION CURVES WITH FUNCTION VERTICAL SCALING FACTORS

被引：14

作者：

Kim, JinMyong ^{[1
]}

Kim, HyonJin ^{[1
]}

Mun, HakMyong ^{[1
]}

机构：

[1] Kim II Sung Univ, Dept Math, Pyongyang, North Korea

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2020年 / 51卷 / 02期

关键词：

Iterated function system; fractal interpolation function; fractal interpolation curve; Geraghty contraction; Rakotch contraction;

D O I：

10.1007/s13226-020-0412-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we present a method to generate new fractal interpolation curves. We ensure that attractors of nonlinear iterated function systems (IFSs) constructed by Geraghty contractions are graphs of some continuous functions which interpolate the given data. In particular, we give an explicit illustrative example to demonstrate the effectiveness of obtained results. Concerning IFSs, our methods and results extend known results from the literature.

引用

页码：483 / 499

页数：17

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