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New concepts for sequences and discrete systems. II. (English) Zbl 1170.40301

The author gives several new concepts for one-dimensional real sequences by means of frequency measures. Most of these new concepts are corresponding to ones in probability theory, such as frequent mean (of a sequence), frequent variance, frequent autocorrelation sequence of a sequence etc. These concepts are useful in the study of properties of sequences.
For part I, cf. ibid. 15, No. 5, 671–709 (2008; Zbl 1170.40300).

MSC:

40A05 Convergence and divergence of series and sequences
26A03 Foundations: limits and generalizations, elementary topology of the line
28A12 Contents, measures, outer measures, capacities
46A70 Saks spaces and their duals (strict topologies, mixed topologies, two-norm spaces, co-Saks spaces, etc.)

Citations:

Zbl 1170.40300
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