×

Almost none of the sequences of 0’s and 1’s are almost convergent. (English) Zbl 0717.40002

Summary: We establish that, in the sense of the Law of Large Numbers, almost none of the sequences of 0’s and 1’s are assigned the same value by every Banach limit.

MSC:

40A05 Convergence and divergence of series and sequences
40A25 Approximation to limiting values (summation of series, etc.)
40G99 Special methods of summability
PDF BibTeX XML Cite
Full Text: DOI EuDML