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

Document Type : Research Paper


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


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).