Deferred statistical convergence of order &lt;i&gt;α&lt;/i&gt; in metric spaces

Et, Mikail; Çınar, Muhammed; Kandemir, Hacer Şengül

doi:10.3934/math.2020241

Cited by 12 publications

(4 citation statements)

References 9 publications

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“…Moreover, Küçükaslan and Ylmaztürk delved into the concept of deferred statistical convergence in [14], paving the way for further investigations in this area. Several other works have also contributed to the theory of statistical convergence [1,[10][11][12][13]15].…”

Section: Introduction and Introductory Factsmentioning

confidence: 99%

Deferred statistical order convergence in Riesz spaces

Küçükaslan,

Aydın

2024

Hacettepe Journal of Mathematics and Statistics

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In recent years, researchers have focused on exploring different forms of statistical convergence in Riesz spaces, such as statistical order convergence and statistical unbounded order convergence. This study aims to present the concept of deferred statistical convergence within Riesz spaces, specifically concerning its relationship with order convergence. Furthermore, we delve into the interconnections between deferred statistical order convergence and various other types of statistical convergence. Moreover, we explore in depth the intricate connections between deferred statistical order convergence and other notable forms of statistical convergence. We provide valuable insights into the broader framework of statistical convergence theory in Riesz spaces.

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Section: Introduction and Introductory Factsmentioning

confidence: 99%

Deferred statistical order convergence in Riesz spaces

Küçükaslan,

Aydın

2024

Hacettepe Journal of Mathematics and Statistics

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“…For more study on the concepts of convergence, invariant summability, deferred mean and asymptotical equivalence for real or set sequences, we refer to [16,17,18,19,20,21,22].…”

Section: Introduction and Backgroundsmentioning

confidence: 99%

Wijsman Deferred Invariant Statistical and Strong $p$-Deferred Invariant Equivalence of Order $\alpha$

GÜLLE,

ULUSU

2023

Fundamental Journal of Mathematics and Applications

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“…In 1959, Schoenberg [23] established some basic properties of statistical convergence and also studied the concept as a summability method. Altin et al [2], Altinok et al [3], Cakalli ([5], [6]), Et et al [7], Colak [8], Connor [9], Di Maio and Koµ cinac [10], Fridy [13], Gungor et al ([15], [16]), Isik et al ( [1], [17], [18]), Salat [21], Savas and Et [22], Sengul et al ( [24], [25], [26]) and many authors investigated some arguments related to this notion.…”

Section: Introductionmentioning

confidence: 99%