Research Article
Generalized Wavelet Transform Associated with Legendre Polynomials
|
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
|
| Volume 108 - Issue 12 |
| Published: December 2014 |
| Authors: C.P.Pandey, M.M.Dixit, Rajesh Kumar |
10.5120/18966-0308
|
C.P.Pandey, M.M.Dixit, Rajesh Kumar . Generalized Wavelet Transform Associated with Legendre Polynomials. International Journal of Computer Applications. 108, 12 (December 2014), 35-40. DOI=10.5120/18966-0308
@article{ 10.5120/18966-0308,
author = { C.P.Pandey,M.M.Dixit,Rajesh Kumar },
title = { Generalized Wavelet Transform Associated with Legendre Polynomials },
journal = { International Journal of Computer Applications },
year = { 2014 },
volume = { 108 },
number = { 12 },
pages = { 35-40 },
doi = { 10.5120/18966-0308 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2014
%A C.P.Pandey
%A M.M.Dixit
%A Rajesh Kumar
%T Generalized Wavelet Transform Associated with Legendre Polynomials%T
%J International Journal of Computer Applications
%V 108
%N 12
%P 35-40
%R 10.5120/18966-0308
%I Foundation of Computer Science (FCS), NY, USA
Abstract
The convolution structure for the Legendre transform developed by Gegenbauer is exploited to define Legendre translation by means of which a new wavelet and wavelet transform involving Legendre Polynomials is defined. A general reconstruction formula is derived.
References
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- R. S. Pathak, Fourier-Jacobi wavelet transform, Vijnana Parishad Anushandhan Patrika 47 (2004), 7-15.
- R. S. Pathak and M. M. Dixit, Continuous and discrete Bessel Wavelet transforms, J. Computational and Applied Mathematics, 160 (2003) 241-250.
- E. D. Rainville, Special Functions, Macmillan Co. , New York (1963).
- R. L. Stens and M. Wehrens, Legendre Transform Methods and Best Algebraic Approximation, Comment. Math. Prace Mat 21(2) (1980), 351-380.
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