MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
Rate of convergence of some neural network operators to the unit-univariate case, revisited
George A. Anastassiou

Abstract

This article deals with the determination of the rate of convergence to the unit of some neural network operators, namely, ``the normalized bell and squashing type operators''. This is given through the modulus of continuity of the involved function or its derivative and that appears in the right-hand side of the associated Jackson type inequalities.

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Keywords: Neural network approximation; bell and squashing functions; modulus of continuity.

MSC: 41A17, 41A25, 41A30, 41A36

Pages:  511--518     

Volume  65 ,  Issue  4 ,  2013