Hinrichs, Aicke; Markhasin, Lev; Oettershagen, Jens; Ullrich, Tino Optimal quasi-Monte Carlo rules on order 2 digital nets for the numerical integration of multivariate periodic functions. (English) Zbl 1358.65004 Numer. Math. 134, No. 1, 163-196 (2016). Reviewer: Gong Guanglu (Beijing) MSC: 65C05 11K45 46E35 PDFBibTeX XMLCite \textit{A. Hinrichs} et al., Numer. Math. 134, No. 1, 163--196 (2016; Zbl 1358.65004) Full Text: DOI arXiv
Markhasin, Lev \(L_p\)- and \(S_{p,q}^rB\)-discrepancy of (order \(2\)) digital nets. (English) Zbl 1328.11083 Acta Arith. 168, No. 2, 139-159 (2015). Reviewer: Maria Infusino (Konstanz) MSC: 11K06 11K38 42C10 46E35 65C05 PDFBibTeX XMLCite \textit{L. Markhasin}, Acta Arith. 168, No. 2, 139--159 (2015; Zbl 1328.11083) Full Text: DOI arXiv
Markhasin, Lev Discrepancy of generalized Hammersley type point sets in Besov spaces with dominating mixed smoothness. (English) Zbl 1349.11113 Unif. Distrib. Theory 8, No. 1, 135-164 (2013). Reviewer: Vassil Grozdanov (Blagoevgrad) MSC: 11K38 PDFBibTeX XMLCite \textit{L. Markhasin}, Unif. Distrib. Theory 8, No. 1, 135--164 (2013; Zbl 1349.11113) Full Text: arXiv
Markhasin, Lev Quasi-Monte Carlo methods for integration of functions with dominating mixed smoothness in arbitrary dimension. (English) Zbl 1286.65005 J. Complexity 29, No. 5, 370-388 (2013). MSC: 65C05 11K38 65D32 PDFBibTeX XMLCite \textit{L. Markhasin}, J. Complexity 29, No. 5, 370--388 (2013; Zbl 1286.65005) Full Text: DOI arXiv
Hinrichs, Aicke; Markhasin, Lev On lower bounds for the \(L_2\)-discrepancy. (English) Zbl 1215.65007 J. Complexity 27, No. 2, 127-132 (2011). MSC: 11K38 65C05 65D30 PDFBibTeX XMLCite \textit{A. Hinrichs} and \textit{L. Markhasin}, J. Complexity 27, No. 2, 127--132 (2011; Zbl 1215.65007) Full Text: DOI arXiv