@article{MAKHILLRJAS201611109868, title = {Approximation by Regular Neural Networks in Terms of Dunkl Transform}, journal = {Research Journal of Applied Sciences}, volume = {11}, number = {10}, pages = {933-941}, year = {2016}, issn = {1815-932x}, doi = {rjasci.2016.933.941}, url = {https://makhillpublications.co/view-article.php?issn=1815-932x&doi=rjasci.2016.933.941}, author = {Eman and}, keywords = {Neural network approximation,saturation problem,spaces,direct inequality}, abstract = {Dunkl operator here we introduce a modified version of and use it to prove a theorem shows that functionals and rth order modulus of smoothness in K-theorem shows thatare equivalent. We use this equivalence to introduce p<1 spaces for Lp (K) essential degree of approximation using regular neural networks p and how a multivariate function in spaces for can be approximated using a p<1 spaces for Lp (K) multivariate p function in forward regular neural network. So, we can have the essential approximation using regular FFN. P<1 spaces for Lp (K) ability of a multivariate function in spaces for using regular FFN.} }