Some results on the space of rational cubic fractal interpolation functions

被引：0
|
作者：
Balasubramani, N. [1 ]
Luor, Dah-Chin [2 ]
机构：
[1] Natl Inst Technol, Dept Math, Tiruchirappalli 620015, India
[2] I Shou Univ, Dept Data Sci & Analyt, Kaohsiung 84001, Taiwan
来源：
JOURNAL OF ANALYSIS | 2024年
关键词：
Iterated function system; Cardinal basis; Reproducing kernel; Orthogonal projection;
D O I：
10.1007/s41478-024-00734-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, rational cubic fractal interpolation function (RCFIF) with three shape parameters is constructed. We develope the orthonormal basis consists of cardinal RCFIFs for the space of RCFIFs with fixed parameters. We show the space RCFIFs with fixed parameters is a reproducing kernel Hilbert space and we study the curve fitting problem. Also, we discuss the orthogonal projection on the space of RCFIFs with fixed parameters. Further, we study the constrained aspects of cardinal RCFIFs. Numerical results are provided to support theoretical results.
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页数：29
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