International Journal of Nonlinear Analysis and Applications

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

Document Type : Research Paper

Authors

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

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

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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