#### Filter Results:

- Full text PDF available (2)

#### Publication Year

2012

2016

- This year (0)
- Last 5 years (7)
- Last 10 years (7)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

Learn More

- Cristian Arteaga, Isabel Marrero
- Adv. Comput. Math.
- 2014

- Cristian Arteaga, Isabel Marrero
- Applied Mathematics and Computation
- 2012

- Cristian Arteaga, Isabel Marrero
- TheScientificWorldJournal
- 2014

For μ≥-1/2, the authors have developed elsewhere a scheme for interpolation by Hankel translates of a basis function Φ in certain spaces of continuous functions Yn(n∈ℕ) depending on a weight w. The functions Φ and w are connected through the distributional identity t4n(hμ'Φ)(t)=1/w(t), where hμ' denotes the generalized Hankel transform of order μ. In this… (More)

- Carlos Alberto Cobos Lozada, Cristian Erazo, +4 authors Alexander Paz
- CAEPIA
- 2016

- Carlos Alberto Cobos Lozada, Carlos Daza, +4 authors Alexander Paz
- IBERAMIA
- 2016

- Cristian Arteaga, Isabel Marrero
- Journal of Approximation Theory
- 2012

Golomb and Weinberger [1] described a variational approach to interpolation which reduced the problem to minimizing a norm in a reproducing kernel Hilbert space generated by means of a small number of data points. Later, Duchon [2] defined radial basis function interpolants as functions which minimize a suitable seminorm given by a weight in spaces of… (More)

- Cristian Arteaga, Isabel Marrero
- Neural Networks
- 2013

We prove that, under certain mild conditions on the kernel function (or activation function), the family of radial basis function neural networks obtained by replacing the usual translation with the Delsarte one, and taking the same smoothing factor in all kernel nodes, has the universal approximation property.

- ‹
- 1
- ›