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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| Format: | Article |
| Language: | English |
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Medwell Journals
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/81499/ 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 |
| _version_ | 1848859118733885440 |
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| author | Abdul Sathar, Mohammad Hasan Ahmedov, Anvarjon Rasedee, Ahmad Fadly Nurullah |
| author_facet | Abdul Sathar, Mohammad Hasan Ahmedov, Anvarjon Rasedee, Ahmad Fadly Nurullah |
| author_sort | Abdul Sathar, Mohammad Hasan |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T12:24:16Z |
| format | Article |
| id | upm-81499 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:24:16Z |
| publishDate | 2019 |
| publisher | Medwell Journals |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| 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 |
| title | 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_short | 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 |
| url | http://psasir.upm.edu.my/id/eprint/81499/ http://psasir.upm.edu.my/id/eprint/81499/ http://psasir.upm.edu.my/id/eprint/81499/ 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 |