3 papers
math.FA2025
Beyond Tchakaloff Quadrature: Positive Functionals, Frames and Widths
Martin Schäfer, Tino Ullrich
Tchakaloff's theorem from 1957 asserts the existence of exact quadrature rules with non-negative weights for any polynomial space of finite degree on if the underlyi…
math.NA2025
Besov regularity of multivariate non-periodic functions in terms of half-period cosine coefficients and consequences for recovery and numerical integration
Martin Schäfer, Tino Ullrich
In the setting of -variate periodic functions, often modelled as functions on the torus , the classical tensorized Fourier system is the system of choi…
math.NA2024
Exact discretization, tight frames and recovery via D-optimal designs
Felix Bartel, Lutz Kämmerer, Kateryna Pozharska +2
-optimal designs originate in statistics literature as an approach for optimal experimental designs. In numerical analysis points and weights resulting from maximal determinants…