3 papers
math.NA2026
Construction of Optimal Algorithms for Function Approximation in Gaussian Sobolev Spaces
Yuya Suzuki, Toni Karvonen
This paper studies function approximation in Gaussian Sobolev spaces over the real line and measures the error in a Gaussian-weighted -norm. We construct two linear approximat…
math.NA2025
Approximation in Hilbert spaces of the Gaussian and related analytic kernels
Toni Karvonen, Yuya Suzuki
We consider linear approximation based on function evaluations in reproducing kernel Hilbert spaces of certain analytic weighted power series kernels and stationary kernels on the…
math.NA2025
Möbius-Transformed Trapezoidal Rule
Yuya Suzuki, Nuutti Hyvönen, Toni Karvonen
We study numerical integration by combining the trapezoidal rule with a Möbius transformation that maps the unit circle onto the real line. We prove that the resulting transformed…