Analysis of α-fractal functions without boundary point conditions on the Sierpinski gasket

被引：1

作者：

Gurubachan ^{[1
]}

Chandramouli, V. V. M. S. ^{[1
]}

Verma, S. ^{[2
]}

机构：

[1] Indian Inst Technol Jodhpur, Dept Math, Jodhpur 342037, India

[2] Indian Inst Informat Technol Allahabad, Dept Appl Sci, Prayagraj 211015, India

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2025年 / 486卷

关键词：

Sierpinski gasket; alpha-fractal interpolation function; Hausdorff dimension; Box dimension; Energy space; H & ouml; lder space; Oscillation space; INTERPOLATION; LAPLACIAN;

D O I：

10.1016/j.amc.2024.129072

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This note aims to manifest the existence of a class of alpha-fractal interpolation functions (alpha-FIFs) without boundary point conditions at the m-th level in the space consisting of continuous functions on the Sierpi & nacute;ski gasket (SG). Furthermore, we add the existence of the same class in the L-p space and energy space on SG. Under certain hypotheses, we show the existence of alpha-FIFs without boundary point conditions in the H & ouml;lder space and oscillation space on SG, and also calculate the fractal dimensions of their graphs.

引用

页数：18

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