6 papers · 1 filter
Scattered Data Histopolation in Averaging Kernel Hilbert Spaces
Ludovico Bruni Bruno, Giacomo Cappellazzo, Wolfgang Erb +1
Kernel-based methods offer a powerful and flexible mathematical framework for addressing histopolation problems. In histopolation, the available input data does not consist of poin…
Bivariate polynomial histopolation techniques on Padua, Fekete and Leja triangles
Ludovico Bruni Bruno, Francesco Dell'Accio, Wolfgang Erb +1
This paper explores the reconstruction of a real-valued function defined over a domain using bivariate polynomials that satisfy triangular histopolation…
Polynomial histopolation on mock-Chebyshev segments
Ludovico Bruni Bruno, Francesco Dell'Accio, Wolfgang Erb +1
In computational practice, we often encounter situations where only measurements at equally spaced points are available. Using standard polynomial interpolation in such cases can l…
-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…