Some properties of fractal interpolation functions on Sierpinski gasket

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:380

Article

Ri, Song-Gyong^1,2  Ruan, Huo-Jun¹ 

[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China

[2] Kim Chaek Univ Technol, Dept Appl Math, Pyongyang, North Korea

关键词: Fractal interpolation function;    Sierpinski gasket;    Min-max property;    Finite energy;    Laplacian;    Normal derivative;   

DOI  :  10.1016/j.jmaa.2011.02.059

来源: Elsevier

【 摘 要 】

In this paper, we discuss some basic properties of uniform fractal interpolation functions (FIFs), which is a special class of FIFs, on Sierpinski gasket. We firstly study the min-max property of uniform FIFs. Then we present a necessary and sufficient condition such that uniform FIFs have finite energy. Normal derivative and Laplacian of uniform FIFs are also discussed. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free