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Numerical integration of functions from holder classes Hs [0, 1] by linear legendre multi wavelets

In the previous research, a direct computational method based on linear Legendre multi-wavelets has been applied for solving definite integrals. However, the error analysis to show the convergence of the method has not been discussed. Therefore, error analysis of the approximation method is establis...

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Main Authors: Abdul Sathar, Mohammad Hasan, Ahmedov, Anvarjon, Rasedee, Ahmad Fadly Nurullah
Format: Article
Language:English
Published: Medwell Journals 2019
Online Access:http://psasir.upm.edu.my/id/eprint/81499/1/Numerical%20integration%20of%20functions%20from%20holder%20classes%20Hs%20%5B0%2C%201%5D%20by%20linear%20Legendre%20multi%20wavelets.pdf
http://psasir.upm.edu.my/id/eprint/81499/
https://medwelljournals.com/abstract/?doi=jeasci.2019.6255.6259
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spelling my.upm.eprints.814992021-06-12T23:57:44Z http://psasir.upm.edu.my/id/eprint/81499/ Numerical integration of functions from holder classes Hs [0, 1] by linear legendre multi wavelets Abdul Sathar, Mohammad Hasan Ahmedov, Anvarjon Rasedee, Ahmad Fadly Nurullah In the previous research, a direct computational method based on linear Legendre multi-wavelets has been applied for solving definite integrals. However, the error analysis to show the convergence of the method has not been discussed. Therefore, error analysis of the approximation method is established in the Holder classes Hs[0, 1] to show the efficiency of the method. The connections of the module of difference smoothness of the function is also established. Finally, some numerical examples of the implementation the method for the functions from Holder classes are presented. Medwell Journals 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/81499/1/Numerical%20integration%20of%20functions%20from%20holder%20classes%20Hs%20%5B0%2C%201%5D%20by%20linear%20Legendre%20multi%20wavelets.pdf Abdul Sathar, Mohammad Hasan and Ahmedov, Anvarjon and Rasedee, Ahmad Fadly Nurullah (2019) Numerical integration of functions from holder classes Hs [0, 1] by linear legendre multi wavelets. Journal of Engineering and Applied Sciences, 14 (17). pp. 6255-6259. ISSN 1818-7803; ESSN: 1816-949X https://medwelljournals.com/abstract/?doi=jeasci.2019.6255.6259 10.36478/jeasci.2019.6255.6259
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description In the previous research, a direct computational method based on linear Legendre multi-wavelets has been applied for solving definite integrals. However, the error analysis to show the convergence of the method has not been discussed. Therefore, error analysis of the approximation method is established in the Holder classes Hs[0, 1] to show the efficiency of the method. The connections of the module of difference smoothness of the function is also established. Finally, some numerical examples of the implementation the method for the functions from Holder classes are presented.
format Article
author Abdul Sathar, Mohammad Hasan
Ahmedov, Anvarjon
Rasedee, Ahmad Fadly Nurullah
spellingShingle Abdul Sathar, Mohammad Hasan
Ahmedov, Anvarjon
Rasedee, Ahmad Fadly Nurullah
Numerical integration of functions from holder classes Hs [0, 1] by linear legendre multi wavelets
author_facet Abdul Sathar, Mohammad Hasan
Ahmedov, Anvarjon
Rasedee, Ahmad Fadly Nurullah
author_sort Abdul Sathar, Mohammad Hasan
title Numerical integration of functions from holder classes Hs [0, 1] by linear legendre multi wavelets
title_short Numerical integration of functions from holder classes Hs [0, 1] by linear legendre multi wavelets
title_full Numerical integration of functions from holder classes Hs [0, 1] by linear legendre multi wavelets
title_fullStr Numerical integration of functions from holder classes Hs [0, 1] by linear legendre multi wavelets
title_full_unstemmed Numerical integration of functions from holder classes Hs [0, 1] by linear legendre multi wavelets
title_sort numerical integration of functions from holder classes hs [0, 1] by linear legendre multi wavelets
publisher Medwell Journals
publishDate 2019
url http://psasir.upm.edu.my/id/eprint/81499/1/Numerical%20integration%20of%20functions%20from%20holder%20classes%20Hs%20%5B0%2C%201%5D%20by%20linear%20Legendre%20multi%20wavelets.pdf
http://psasir.upm.edu.my/id/eprint/81499/
https://medwelljournals.com/abstract/?doi=jeasci.2019.6255.6259
_version_ 1703962164615708672
score 13.211869

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