Abstract

This paper concentrates on the bounds of the box-counting dimension of the graph of various fractal functions on the (N-1) dimensional Sierpinski gasket for N≥3. The bounds of the box-counting dimension of the graph of harmonic functions and functions having finite energy associated with the standard self-similar energy are found. Besides that, the bounds for the graph of harmonic functions and functions having finite energy associated with the bilateral energy on the Sierpinski gasket are also examined.

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