FRACTIONAL APPROXIMATION BY NORMALIZED BELL AND SQUASHING TYPE NEURAL NETWORK OPERATORS

被引：0
|
作者：
Anastassiou, George A. [1 ]
机构：
[1] Univ Memphis, Dept Math Sci, Memphis, TN 38152 USA
来源：
NEW MATHEMATICS AND NATURAL COMPUTATION | 2013年 / 9卷 / 01期
关键词：
Neural network fractional approximation; bell function; squashing function; fractional derivative; modulus of continuity;
D O I：
10.1142/S179300571350004X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This article deals with the determination of the fractional rate of convergence to the unit of some neural network operators, namely, the normalized bell and ''squashing" type 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.
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页码：43 / 63
页数：21
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