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Journal of Engineering and Applied Sciences

ISSN: Online 1818-7803
ISSN: Print 1816-949x
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Numerical Integration of Functions from Holder Classes Hs [0, 1] by Linear Legendre Multi Wavelets

Ahmad Fadly Nurullah Rasedee, Mohammad Hasan Abdul Sathar and Anvarjon A. Ahmedov
Page: 6255-6259 | Received 21 Sep 2022, Published online: 21 Sep 2022

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https://doi.org/10.36478/jeasci.2019.6255.6259

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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.

How to cite this article:

Ahmad Fadly Nurullah Rasedee, Mohammad Hasan Abdul Sathar and Anvarjon A. Ahmedov. Numerical Integration of Functions from Holder Classes Hs [0, 1] by Linear Legendre Multi Wavelets.
DOI: https://doi.org/10.36478/jeasci.2019.6255.6259
URL: https://www.makhillpublications.co/view-article/1816-949x/jeasci.2019.6255.6259