G. Byrenheid, S.A. Stasyuk, T. Ullrich. $L_p$-Sampling recovery for non-compact subclasses of $L_\infty$. submittedarXiv:2210.01704Externer Link
G. Byrenheid, J. Hüber, and M. Weimar. Rate-optimal sparse approximation of compact break-of-scale embeddings. ACHA, to appear.
G. Byrenheid, R.J. Kunsch, and V.K. Nguyen. Monte Carlo methods for uniform approximation on periodic Sobolev spaces with mixed smoothness, Journal of Complexity, Volume 46, Pages 90-102, 2018.
G. Byrenheid, L. Kämmerer, T. Ullrich, and T. Volkmer. Tight error bounds for rank-1 lattice sampling in spaces of hybrid mixed smoothness. Num. Math., 136:993-1034, 2017.
G. Byrenheid and T. Ullrich. Optimal sampling recovery of mixed order Sobolev embeddings via discrete Littlewood-Paley type characterizations. Anal. Math., 43(2):133-191, 2017.
G. Byrenheid, D. Dũng, W. Sickel, and T. Ullrich. Sampling on energy-norm based sparse grids for the optimal recovery of Sobolev type functions in Hγ. J. Approx. Theory, 207:207-231, 2016.