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

Citation

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

Abstract

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.

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Additional Metadata

Item Type:	Article
Divisions:	Centre of Foundation Studies for Agricultural Science
DOI Number:	https://doi.org/10.36478/jeasci.2019.6255.6259
Publisher:	Medwell Journals
Keywords:	Numerical integration; Holder classes; Linear Legendre multi-wavelets; Error analysis; Computational method; Efficiency
Depositing User:	Ms. Nida Hidayati Ghazali
Date Deposited:	12 Jun 2021 23:57
Last Modified:	12 Jun 2021 23:57
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.36478/jeasci.2019.6255.6259
URI:	http://psasir.upm.edu.my/id/eprint/81499
Statistic Details:	View Download Statistic

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