5 papers
-convergence of Kantorovich-type Max-Min Neural Network Operators
İsmail Aslan, Stefano De Marchi, Wolfgang Erb
In this work, we study the Kantorovich variant of max-min neural network operators, in which the operator kernel is defined in terms of sigmoidal functions. Our main aim is to demo…
The Fekete problem in segmental polynomial interpolation
Ludovico Bruni Bruno, Wolfgang Erb
In this article, we study the Fekete problem in segmental and combined nodal-segmental univariate polynomial interpolation by investigating sets of segments, or segments combined w…
Polynomial Interpolation of Function Averages on Interval Segments
Ludovico Bruni Bruno, Wolfgang Erb
Motivated by polynomial approximations of differential forms, we study analytical and numerical properties of a polynomial interpolation problem that relies on function averages ov…
Highly Localized RBF Lagrange Functions for Finite Difference Methods on Spheres
Wolfgang Erb, Thomas Hangelbroek, Francis J. Narcowich +2
The aim of this paper is to show how rapidly decaying RBF Lagrange functions on the spheres can be used to create effective, stable finite difference methods based on radial basis…
Krylov subspace methods to accelerate kernel machines on graphs
Wolfgang Erb
In classical frameworks as the Euclidean space, positive definite kernels as well as their analytic properties are explicitly available and can be incorporated directly in kernel-b…