3 papers
math.NA2025
Hyperbolic trigonometric functions as approximation kernels and their properties I: generalised Fourier transforms
Martin Buhmann, Joaquín Jódar, Miguel L. Rodríguez
In this paper a new class of radial basis functions based on hyperbolic trigonometric functions will be introduced and studied. We focus on the properties of their generalised Four…
math.NA2023
New methods for quasi-interpolation approximations: resolution of odd-degree singularities
Martin Buhmann, Janin Jäger, Joaquín Jódar +1
In this paper, we study functional approximations where we choose the so-called radial basis function method and more specifically, quasi-interpolation. From the various available…
math.NA2021
Strict positive definiteness of convolutional and axially symmetric kernels on d-dimensional spheres
Martin Buhmann, Janin Jäger
The paper introduces new sufficient conditions of strict positive definiteness for kernels on d-dimensional spheres which are not radially symmetric but possess specific coefficien…