Mohammad Hasan  Abdul Sathar, Ahmad Fadly  Nurullah Rasedee, Anvarjon  A. Ahmedov, 
    Numerical Integration of Functions from Holder Classes H<sup>s</sup> [0, 1] by Linear Legendre Multi Wavelets,
    Journal of Engineering and Applied Sciences,
    Volume 14,Issue 17,
    2019,
    Pages 6255-6259,
    ISSN 1816-949x,
    jeasci.2019.6255.6259,
    (https://makhillpublications.co/view-article.php?doi=jeasci.2019.6255.6259)
    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 H<sup>s</sup>[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.
    Keywords: Numerical integration;Holder classes;linear Legendre multi-wavelets;error analysis;computationalmethod;efficiency