TY  - JOUR
T1  - Numerical Integration of Functions from Holder Classes H<sup>s</sup> [0, 1] by Linear Legendre Multi Wavelets
AU - Abdul Sathar, Mohammad Hasan AU - Nurullah Rasedee, Ahmad Fadly AU - A. Ahmedov, Anvarjon 
JO  - Journal of Engineering and Applied Sciences
VL  - 14
IS  - 17
SP  - 6255
EP  - 6259
PY  - 2019
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2019.6255.6259
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2019.6255.6259
KW  - Numerical integration
KW  -Holder classes
KW  -linear Legendre multi-wavelets
KW  -error analysis
KW  -computationalmethod
KW  -efficiency
AB  - 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.
ER  -