On permutational invariance of the metric discrepancy results

Year, pages: 2017, 349 - 354

Let $\{n_k\}$ be a sequence of non-zero real numbers. We prove that the law of the iterated logarithm for discrepancies of the sequence $\{n_k x\}$ is permutational invariant if $|n_k+1/n_k|\to∞$ is satisfied.

Fukuyama, K., Noda, Y. 2017. On permutational invariance of the metric discrepancy results. In Mathematica Slovaca, vol. 67, no.2, pp. 349-354. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0271

Fukuyama, K., Noda, Y. (2017). On permutational invariance of the metric discrepancy results. Mathematica Slovaca, 67(2), 349-354. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0271