Remarks on continuously distributed sequences

Array

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DOI:

https://doi.org/10.15330/cmp.13.1.89-97

Keywords:

uniform distribution, density, van der Corput's sequence

Abstract

In the first part of the paper we define the notion of the density as certain type of finitely additive probability measure and the distribution function of sequences with respect to the density. Then we derive some simple criterions providing the continuity of the distribution function of given sequence. These criterions we apply to the van der Corput's sequences. The Weyl's type criterions of continuity of the distribution function are proven.

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Published

2021-05-23

How to Cite

(1)
Paštéka, M. Remarks on Continuously Distributed Sequences: Array. Carpathian Math. Publ. 2021, 13, 89-97.

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Section

Scientific articles