Research Article
Legendre Wavelet Expansion of a Function f(x, y) and its Approximation
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
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| Volume 171 - Issue 6 |
| Published: Aug 2017 |
| Authors: Shyam Lal, Anavaruddin Ansari |
10.5120/ijca2017914819
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Shyam Lal, Anavaruddin Ansari . Legendre Wavelet Expansion of a Function f(x, y) and its Approximation. International Journal of Computer Applications. 171, 6 (Aug 2017), 1-7. DOI=10.5120/ijca2017914819
@article{ 10.5120/ijca2017914819,
author = { Shyam Lal,Anavaruddin Ansari },
title = { Legendre Wavelet Expansion of a Function f(x, y) and its Approximation },
journal = { International Journal of Computer Applications },
year = { 2017 },
volume = { 171 },
number = { 6 },
pages = { 1-7 },
doi = { 10.5120/ijca2017914819 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2017
%A Shyam Lal
%A Anavaruddin Ansari
%T Legendre Wavelet Expansion of a Function f(x, y) and its Approximation%T
%J International Journal of Computer Applications
%V 171
%N 6
%P 1-7
%R 10.5120/ijca2017914819
%I Foundation of Computer Science (FCS), NY, USA
Abstract
In this paper, two new Legendre Wavelet estimators of a function f of two variable x and y by (2k-1,M; 2k′-1,M′)th partials sums of their Legendre wavelet series are obtained. These estimators are sharper and better in Wavelet Analysis.
References
- A. Zygmund, Trigonometric Series Vol. I, Cambridge University Press, 1959.
- M. Razzaghi and S. Yousefi(2001), “ The Legendre Wavelet operational Matrix of Integration”, “ Intenational Journal of Systems Sciences ” Vol. 32, No. 4, pp. 495-502.
- M. R. Islam, S. F. Ahemmed and S. M. A Rahman(2006), “Comparison of Wavelet Approximation Order in different smoothness spaces” “International Journal of Mathematics and Mathematical Sciences”, Volume 2006, Article ID 63670, 1-7, DOI 10. 1155/IJMMS/2006/63670.
- Nanshan Liu, En- Bing Lin(2009), “ LegendreWavelet Method for Numerical Solutions of Partial Differential Equations”, “ Willey Inter Science”, DOI 10.1002/num.20417.
- Shyam Lal and Manoj Kumar(2013), “ Approximation of functions of space of L2(R) by wavelet expansions”, “ Lobacheveskii Journal of Mathematics”, Vol. 34, No.2, pp. 163- 172,
- Shyam Lal and Susheel Kumar, “ Best Wavelet Approximation of Functions Belonging to Generalized Lipschitz Class using Haar Scaling function ”, “Thai Journal of Mathematics”(Article in press).
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