Martin Buhmann

most cited

ℓ^{1}

-summability and Fourier series of B-splines with respect to their knots

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.NA2023

High Accuracy Quasi-Interpolation using a new class of generalized Multiquadrics

Mathis Ortmann, Martin Buhmann

A new generalization of multiquadric functions $ϕ (x) = c^{2 d} + ∣∣ x ∣ ∣^{2 d}$ , where $x \in R^{n}$ , $c \in R$ , $d \in N$ , is presented to increase the accurac…

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.CA2022★ 1 cited

$ℓ^{1}$ -summability and Fourier series of B-splines with respect to their knots

Martin Buhmann, Janin Jäger, Yuan Xu

We study the $ℓ^{1}$ -summability of functions in the $d$ -dimensional torus $T^{d}$ and so-called $ℓ^{1}$ -invariant functions. Those are functions on the torus whose Fourie…

High Accuracy Quasi-Interpolation using a new class of generalized Multiquadrics

New methods for quasi-interpolation approximations: resolution of odd-degree singularities

ℓ1-summability and Fourier series of B-splines with respect to their knots

$ℓ^{1}$ -summability and Fourier series of B-splines with respect to their knots