On existence conditions for sequences uniformly distributed with respect to Voronoi’s methods. (English. Russian original) Zbl 1172.40003

Dokl. Math. 76, No. 1, 494-496 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 415, No. 1, 18-20 (2007).
Sequences that are uniformly distributed with respect to some summation methods are investigated. It is proved that there is a Voronoi summation method such that there is no uniformly distributed sequence with respect to this summation method.


40G99 Special methods of summability
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