76 citations · 343 across the 42 of their papers we have counts for
Showing 2016 · math.NAShow all
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math.NA2016
On the orthogonality of the Chebyshev-Frolov lattice and applications
Christopher Kacwin, Jens Oettershagen, Tino Ullrich
We deal with lattices that are generated by the Vandermonde matrices associated to the roots of Chebyshev-polynomials. If the dimension of the lattice is a power of two, i.e. $…
math.NA2016
Optimal sampling recovery of mixed order Sobolev embeddings via discrete Littlewood-Paley type characterizations
Glenn Byrenheid, Tino Ullrich
In this paper we consider the -approximation of multivariate periodic functions with -bounded mixed derivative (difference). The (possibly non-linear) reconstruction…
math.NA2016★ 26 cited
Hyperbolic Cross Approximation
Dinh Dũng, Vladimir N. Temlyakov, Tino Ullrich
Hyperbolic cross approximation is a special type of multivariate approximation. Recently, driven by applications in engineering, biology, medicine and other areas of science new ch…