doi: 10.7763/IJAPM.2012.V2.98
Qualitative Properties of Wavelets Constructed from Trigonometric B-Splines
Mahendra Kumar Jena
- the Department of Mathematics, VSS University of Technology, Odisha, Burla-768018, India
Abstract
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.
Keywords
- Trigonometric b-spline
- wavelet
- decay
- regularity
- vanishing moments
How to Cite
Mahendra Kumar Jena, "Qualitative Properties of Wavelets Constructed from Trigonometric B-Splines," International Journal of Applied Physics and Mathematics, vol. 2, no. 4, pp. 231-233, 2012. https://doi.org/ 10.7763/IJAPM.2012.V2.98
Copyright & License
Copyright © 2012 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).