2017
DOI: 10.3906/mat-1607-21
|View full text |Cite
|
Sign up to set email alerts
|

Abstract: In this paper, we present some results linking the uniform statistical limit superior and inferior, almost convergence and uniform statistical convergence of a sequence. We also study the relationship between the set of uniform statistical cluster points of a given sequence and its subsequences. The results concerning uniform statistical convergence and uniform statistical cluster points presented here are also closely related to earlier results regarding statistical convergence and statistical cluster points … Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1

Citation Types

1
3
0

Year Published

2020
2020
2023
2023

Publication Types

Select...
3

Relationship

1
2

Authors

Journals

citations
Cited by 3 publications
(4 citation statements)
references
References 17 publications
1
3
0
Order By: Relevance
“…We remark that the last theorem provides a generalization of the author's earlier result regarding uniform statistical cluster points in [23], and this further indicates that both cases of measure 0 and 1 can occur (see [23]).…”
supporting
confidence: 71%
See 2 more Smart Citations
“…We remark that the last theorem provides a generalization of the author's earlier result regarding uniform statistical cluster points in [23], and this further indicates that both cases of measure 0 and 1 can occur (see [23]).…”
supporting
confidence: 71%
“…It is well known that every x ∈ (0, 1] has a unique binary expansion x = ∑ ∞ n=1 2 −n d n (x) such that d n (x) = 1 for infinitely many positive integers n, and for every x ∈ (0, 1] and any sequence s = (s n ) we can generate a subsequence (sx) of s in such a way that: if d n (x) = 1, then (sx) n = s n . In the existing literature the relationships between a given sequence and its subsequences have been studied in two directions: the first direction is changing the concept of convergence by statistical convergence, A-statistical convergence, uniform statistical convergence, ideal convergence, and the other direction is using measure or category to study the measure and topological largeness of the sets of subsequences (see [2,4,15,[18][19][20][21][22][23][24]). There are still gaps to examine in this area.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…Additionally we have the following result, reminiscent of some theorems concerning statistical and uniform statistical convergence (see [15,16,20]). for n ∈ ∪ i ν=1 I 2 µ−1 (2ν+1) and any fixed µ = 1, 2, .…”
Section: Resultsmentioning
confidence: 84%