Grozdanov, Vassil St. On the diaphony of one class of one-dimensional sequences. (English) Zbl 0841.11038 Int. J. Math. Math. Sci. 19, No. 1, 115-124 (1996). The author considers special sequences of the net type (\(LP_\tau\)-sequences of Sobol’) and obtains best possible upper bounds for the diaphony and for the \(L^2\)-discrepancy (in the case of symmetrized sequences) of order \(O(N^{-1} (\log N)^{1/2})\). Reviewer: R.F.Tichy (Graz) Cited in 6 Documents MSC: 11K06 General theory of distribution modulo \(1\) 11K31 Special sequences Keywords:net type sequences; diophany; \(L^ 2\)-discrepancy PDFBibTeX XMLCite \textit{V. St. Grozdanov}, Int. J. Math. Math. Sci. 19, No. 1, 115--124 (1996; Zbl 0841.11038) Full Text: DOI EuDML