Explicit inequalities for wavelet coefficients

Abstract

A fundamental principal for many applications of wavelets is that the size of the wavelet coefficients indicates the local smoothness of the represented function f. We show how explicit and best possible a priori bounds for wavelel coefficients can be obtained for any wavelet from the coefficients of its two scale relation.

Keywords:

• Wavelet coefficients
• bounds
• two scale relation

AMS:

• 42C15
• 4lAl5