Fractional Voronovskaya type asymptotic expansions for quasi-interpolation neural network operators
- George A. Anastassiou ganastss@memphis.edu
Downloads
DOI:
https://doi.org/10.4067/S0719-06462012000300005Abstract
Here we study further the quasi-interpolation of sigmoidal and hyperbolic tangent types neural network operators of one hidden layer. Based on fractional calculus theory we derive fractional Voronovskaya type asymptotic expansions for the error of approximation of these operators to the unit operator.
Keywords
Most read articles by the same author(s)
- George A. Anastassiou, Poincar´e Type Inequalities for Linear Differential Operators , CUBO, A Mathematical Journal: Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal
- George A. Anastassiou, Univariate right fractional Ostrowski inequalities , CUBO, A Mathematical Journal: Vol. 14 No. 1 (2012): CUBO, A Mathematical Journal
- George A. Anastassiou, Razvan A. Mezei, Uniform convergence with rates of general singular operators , CUBO, A Mathematical Journal: Vol. 15 No. 2 (2013): CUBO, A Mathematical Journal
- George A. Anastassiou, Fuzzy Taylor Formulae , CUBO, A Mathematical Journal: Vol. 7 No. 3 (2005): CUBO, A Mathematical Journal
- George A. Anastassiou, A New Expansion Formula , CUBO, A Mathematical Journal: Vol. 5 No. 1 (2003): CUBO, Matemática Educacional
- George A. Anastassiou, Converse Fractional Opial Inequalities for Several Functions , CUBO, A Mathematical Journal: Vol. 10 No. 1 (2008): CUBO, A Mathematical Journal
- George A. Anastassiou, Multiple general sigmoids based Banach space valued neural network multivariate approximation , CUBO, A Mathematical Journal: Vol. 25 No. 3 (2023)
Downloads
Download data is not yet available.
Published
2012-10-01
How to Cite
[1]
G. A. Anastassiou, “Fractional Voronovskaya type asymptotic expansions for quasi-interpolation neural network operators”, CUBO, vol. 14, no. 3, pp. 71–83, Oct. 2012.
Issue
Section
Articles