Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4618520 | Journal of Mathematical Analysis and Applications | 2011 | 10 Pages |
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.
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