Affine recurrent fractal interpolation functions

被引：5
|
作者：
Balasubramani, N. [1 ]
Gowrisankar, A. [1 ]
机构：
[1] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India
来源：
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS | 2021年 / 230卷 / 21-22期
关键词：
VISUALIZATION;
D O I：
10.1140/epjs/s11734-021-00306-7
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this article, affine recurrent fractal interpolation function is constructed and its convergence analysis is established to understand the approximation properties. Besides, the existence of optimal recurrent fractal interpolation function for given continuous function is discussed. Further, shape preserving aspects of the recurrent fractal interpolation function are investigated by imposing the necessary conditions on the vertical scaling factors. Numerical examples are explored which support the theoretical results.
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页码：3765 / 3779
页数：15
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