Rate of convergence of some multivariate neural network operators to the unit

Authors
Anastassiou, GA
Citation
Ga. Anastassiou, Rate of convergence of some multivariate neural network operators to the unit, COMPUT MATH, 40(1), 2000, pp. 1-19
Citations number
2
Categorie Soggetti
Computer Science & Engineering
Journal title
COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN journal
08981221 → ACNP
Volume
40
Issue
1
Year of publication
2000
Pages
1 - 19
Database
ISI
SICI code
0898-1221(200007)40:1<1:ROCOSM>2.0.ZU;2-F
Abstract
This paper deals with the determination of the rate of convergence to the u nit of some multivariate neural network operators, namely, the Cardaliaguet -Euvrard and "squashing" operators. This is given through the multidimensio nal modulus of continuity of the involved multivariate function or its part ial derivatives of specific order that appear in the right-hand side of the associated multivariate jackson type inequality. (C) 2000 Elsevier Science Ltd. All rights reserved.