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Wavelet Approximations using (Λ⋅C1) Matrix-Cesaro Summability Method of Jacobi Series

by Shyam Lal, Manoj Kumar
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 147 - Number 14
Year of Publication: 2016
Authors: Shyam Lal, Manoj Kumar
10.5120/ijca2016911210

Shyam Lal, Manoj Kumar . Wavelet Approximations using (Λ⋅C1) Matrix-Cesaro Summability Method of Jacobi Series. International Journal of Computer Applications. 147, 14 ( Aug 2016), 1-8. DOI=10.5120/ijca2016911210

@article{ 10.5120/ijca2016911210,
author = { Shyam Lal, Manoj Kumar },
title = { Wavelet Approximations using (Λ⋅C1) Matrix-Cesaro Summability Method of Jacobi Series },
journal = { International Journal of Computer Applications },
issue_date = { Aug 2016 },
volume = { 147 },
number = { 14 },
month = { Aug },
year = { 2016 },
issn = { 0975-8887 },
pages = { 1-8 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume147/number14/25822-2016911210/ },
doi = { 10.5120/ijca2016911210 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:52:03.846084+05:30
%A Shyam Lal
%A Manoj Kumar
%T Wavelet Approximations using (Λ⋅C1) Matrix-Cesaro Summability Method of Jacobi Series
%J International Journal of Computer Applications
%@ 0975-8887
%V 147
%N 14
%P 1-8
%D 2016
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, an application to the approximation by wavelets has been obtained by using matrix-Cesaro (Λ⋅C1) method of Jacobi polynomials. The rapid rate of convergence of matrix-Cesaro method of Jacobi polynomials are estimated. The result of Theorem (6.1) of this research paper is applicable for avoiding the Gibbs phenomenon in intermediate levels of wavelet approximations. There are major roles of wavelet approximations (obtained in this paper) in computer applications. The matrix-Cesaro (Λ⋅C1) method includes (N, pn)⋅C1 method as a particular case. The comparison between the numerical results obtained by the (N, pn)⋅C1 and matrix-Cesaro (Λ⋅C1) summability method reveals a slight improvement concerning the reduction of the excessive oscillations by using the approach of present paper.

References
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Index Terms

Computer Science
Information Sciences

Keywords

Jacobi orthogonal polynomials matrix-Cesaro (Λ⋅C 1 ) method of Jacobi polynomials (N p n )⋅C 1 method multiresolution analysis orthogonal projection the Gibbs phenomenon in wavelet analysis.

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