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, Right general fractional monotone approximation , CUBO, A Mathematical Journal: Vol. 17 No. 3 (2015): CUBO, A Mathematical Journal
- George A. Anastassiou, Quantitative Approximation by a Kantorovich-Shilkret quasi-interpolation neural network operator , CUBO, A Mathematical Journal: Vol. 20 No. 3 (2018)
- George A. Anastassiou, Approximation by Shift Invariant Univariate Sublinear-Shilkret Operators , CUBO, A Mathematical Journal: Vol. 20 No. 1 (2018)
- George A. Anastassiou, Approximation by discrete singular operators , CUBO, A Mathematical Journal: Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal
- George A. Anastassiou, Foundations of generalized Prabhakar-Hilfer fractional calculus with applications , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
- George A. Anastassiou, Higher order multivariate Fuzzy approximation by basic neural network operators , CUBO, A Mathematical Journal: Vol. 16 No. 3 (2014): CUBO, A Mathematical Journal
- George A. Anastassiou, Spline left fractional monotone approximation involving left fractional differential operators , CUBO, A Mathematical Journal: Vol. 17 No. 1 (2015): 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)
- George A. Anastassiou, Caputo fractional Iyengar type Inequalities , CUBO, A Mathematical Journal: Vol. 21 No. 2 (2019)
- George A. Anastassiou, Ostrowski-Sugeno fuzzy inequalities , CUBO, A Mathematical Journal: Vol. 21 No. 3 (2019)
Similar Articles
- Satyam Narayan Srivastava, Smita Pati, John R. Graef, Alexander Domoshnitsky, Seshadev Padhi, Lyapunov-type inequalities for higher-order Caputo fractional differential equations with general two-point boundary conditions , CUBO, A Mathematical Journal: Vol. 26 No. 2 (2024)
- Mouffak Benchohra, Gaston M. N‘Guérékata, Djamila Seba, Measure of noncompactness and nondensely defined semilinear functional differential equations with fractional order , CUBO, A Mathematical Journal: Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal
- Hamza El-Houari, Lalla Saádia Chadli, Hicham Moussa, On a class of fractional Γ(.)-Kirchhoff-Schrödinger system type , CUBO, A Mathematical Journal: Vol. 26 No. 1 (2024)
- Ram U. Verma, Hybrid (Φ,Ψ,Ï,ζ,θ)−invexity frameworks and efficiency conditions for multiobjective fractional programming problems , CUBO, A Mathematical Journal: Vol. 17 No. 1 (2015): CUBO, A Mathematical Journal
- Ganga Ram Gautam, Sandra Pinelas, Manoj Kumar, Namrata Arya, Jaimala Bishnoi, On the solution of \(\mathcal{T}-\)controllable abstract fractional differential equations with impulsive effects , CUBO, A Mathematical Journal: Vol. 25 No. 3 (2023)
- John A.D. Appleby, James P. Gleeson, Alexandra Rodkina, Asymptotic Constancy and Stability in Nonautonomous Stochastic Differential Equations , CUBO, A Mathematical Journal: Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal
- Vito Lampret, Basic asymptotic estimates for powers of Wallis‘ ratios , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
- Leigh C. Becker, T. A. Burton, Jensen's Inequality and Liapunov's Direct Method , CUBO, A Mathematical Journal: Vol. 6 No. 3 (2004): CUBO, A Mathematical Journal
- Burkhard Lenze, Mathematical Foundations of Neural Network Theory , CUBO, A Mathematical Journal: Vol. 3 No. 1 (2001): CUBO, Matemática Educacional
- George A. Anastassiou, Univariate right fractional Ostrowski inequalities , CUBO, A Mathematical Journal: Vol. 14 No. 1 (2012): CUBO, A Mathematical Journal
<< < 1 2 3 4 5 6 7 8 9 10 11 12 > >>
You may also start an advanced similarity search for this article.
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