47 citations · 331 across the 35 of their papers we have counts for
49 papers
Infinite-dimensional integration and -approximation on Hermite spaces
Michael Gnewuch, Aicke Hinrichs, Klaus Ritter +1
We study integration and -approximation of functions of infinitely many variables in the following setting: The underlying function space is the countably infinite tensor prod…
Countable Tensor Products of Hermite Spaces and Spaces of Gaussian Kernels
M. Gnewuch, M. Hefter, A. Hinrichs +1
In recent years finite tensor products of reproducing kernel Hilbert spaces (RKHSs) of Gaussian kernels on the one hand and of Hermite spaces on the other hand have been considered…
Random sections of -ellipsoids, optimal recovery and Gelfand numbers of diagonal operators
Aicke Hinrichs, Joscha Prochno, Mathias Sonnleitner
We study the circumradius of a random section of an -ellipsoid, , and compare it with the minimal circumradius over all sections with subspaces of the same c…
Lower bounds for integration and recovery in
Aicke Hinrichs, David Krieg, Erich Novak +1
Function values are, in some sense, "almost as good" as general linear information for -approximation (optimal recovery, data assimilation) of functions from a reproducing ker…
Gelfand numbers of embeddings of Schatten classes
Aicke Hinrichs, Joscha Prochno, Jan Vybíral
Let and denote by and the corresponding Schatten classes of real matrices. We study the Gelfand numbers of natura…
Extreme and periodic discrepancy of plane point sets
Aicke Hinrichs, Ralph Kritzinger, Friedrich Pillichshammer
In this paper we study the extreme and the periodic discrepancy of plane point sets. The extreme discrepancy is based on arbitrary rectangles as test sets whereas the periodi…