Qualitative Properties of Wavelets Constructed from Trigonometric B-Splines
Mahendra Kumar Jena · International Journal of Applied Physics and Mathematics · 2012
Recently, in [7] wavelets have been constructed by taking trigonometric B-splines as the scaling functions.In this paper, we study some of its qualitative properties like decay, regularity and vanishing moments.In particular, we show that if the order of the scaling function is n then these wavelets have n-vanishing moments, have regularity of order more than n-1 and decay to zero very fast like inverse of a polynomial.