Weighted approximation using neural network in terms of fractional modulus of smoothness of fractional derivative

Document Type : Research Paper

Authors
Amenah Hassan Ibrahim 1
Eman Samir Bhaya 2
Eman Ali Hessen 2
1 Department of Mathematics, College of Sciences, AL-Mustansiriyah University, Baghdad, Iraq
2 Department of Mathematics, College of Education for Pure Sciences, University of Babylon, Babylon, Iraq
10.22075/ijnaa.2022.6098
Abstract
We introduce direct theorems for universal weighted approximation. This approximation in terms of weighted Ditzain-Totik modulus of smoothness for the fractional derivative of functions in $L_p$  (quasi-normed spaces).
Keywords
Ditzain-Totik modulus
quasi-norm
weighted approximation
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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 1
March 2022
Pages 3381-3394

  • Receive Date 19 June 2021
  • Revise Date 17 July 2021
  • Accept Date 14 October 2021

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