Article ID Journal Published Year Pages File Type
4618520 Journal of Mathematical Analysis and Applications 2011 10 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis