The STUDIA UNIVERSITATIS BABEŞ-BOLYAI issue article summary

The summary of the selected article appears at the bottom of the page. In order to get back to the contents of the issue this article belongs to you have to access the link from the title. In order to see all the articles of the archive which have as author/co-author one of the authors mentioned below, you have to access the link from the author's name.

 
       
         
    STUDIA MATHEMATICA - Issue no. 3 / 2012  
         
  Article:   FRACTIONAL APPROXIMATION BY CARDALIAGUET-EUVRARD AND SQUASHING NEURAL NETWORK OPERATORS.

Authors:  GEORGE A. ANASTASSIOU.
 
       
         
  Abstract:  

This article deals with the determination of the fractional rate of convergence to the unit of some neural network operators, namely, the Cardaliaguet-Euvrard and ”squashing” operators. This is given through the moduli of continuity of the involved right and left Caputo fractional derivatives of the approximated function and they appear in the right-hand side of the associated Jackson type inequalities.

Mathematics Subject Classification (2010): 26A33, 41A17, 41A25, 41A30, 41A36.

Keywords: Neural network fractional approximation, Carda- liaguet-Euvrard operator,fractional derivative, modulus of continuity.

 
         
     
         
         
      Back to previous page