2022
DOI: 10.2478/ejaam-2022-0004
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On ideal convergence of rough triple sequence

Abstract: In this paper, we present the ideal convergence of triple sequences for rough variables. Furthermore, sequence convergence plays an extremely important role in the fundamental theory of mathematics. This paper presents two types of ideal convergence of rough triple sequence: Convergence in trust and convergence in mean. Some mathematical properties of those new convergence concepts are also given. In addition, we introduce ideal Cauchy triple sequence in rough spaces.

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Cited by 3 publications
(3 citation statements)
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“…On the other hand, Dündar and Ulusu [10] studied on the rough convergence of a sequence of functions defined on amenable semigroups. Kişi and Dündar [11] investigated the rough ∆I-statistical convergence for difference sequences. Recently, the rough convergence of a sequence of sets has also been studied (see [12], [13]).…”
Section: Introductionmentioning
confidence: 99%
“…On the other hand, Dündar and Ulusu [10] studied on the rough convergence of a sequence of functions defined on amenable semigroups. Kişi and Dündar [11] investigated the rough ∆I-statistical convergence for difference sequences. Recently, the rough convergence of a sequence of sets has also been studied (see [12], [13]).…”
Section: Introductionmentioning
confidence: 99%
“…They also introduced the notion of strongly deferred Cesàro convergence of sequences defined by modulus function 𝑓 and investigated its relation with deferred 𝑓-statistical convergence. We refer to [15][16][17][18][19][20][21][22] for additional different works on deferred statistical convergence.…”
Section: Introductionmentioning
confidence: 99%
“…Anahtar Kelimeler -𝐺-Metrik Uzaylar, İstatistiksel Yakınsaklık, İdeal Yakınsaklık, Deferred İstatistiksel Yakınsaklık I. GİRİŞ Fast [5] tarafından istatistiksel yakınsaklık kavramının tanıtılmasının ardından çeşitli yakınsama tanımları üzerine çalışmalar yapılmıştır. Agnew [2] deferred Cesáro metodunu pozitif tamsayıların belli koşullara sahip dizileri yardımıyla tanımlamış, bu çalışmadan yararlanarak Küçükaslan ve Yılmaztürk [13] deferred istatistiksel yakınsaklık tanımını vermiş ve bu tanım sayesinde bir çok yeni çalışma yapılmıştır (bknz [4,8,9,10]). Bir diğer yakınsalık çeşidi olan ideal yakınsaklık tanımı Kostyrko vd.…”
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