Abstract
Approximating function by using Spectral Graph Wavelets is an interesting direction in approximation theory. We essential to well choosing the space of functions that are approximated by Spectral Graph Wavelets. spaces of functions are fantastic choices to study It is more interesting to take the value . In this paper , new formulas of Spectral Graph Wavelets were constructed and proved to get good rates of approximation. Fundamental properties of Graph Wavelets transform ( GWT) are studied, such as, inversion , scaling Limit and approximation Wavelets. Finally , existence of best approximation can be concluded here for Graph functions in terms of SGWT.
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