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