On Deferred Statistical and Strong Deferred Cesàro Convergences of Sequences With Respect to  A Modulus Function

Belen, Cemal; Yildirim, Mustafa

doi:10.17776/csj.1334082

On Deferred Statistical and Strong Deferred Cesàro Convergences of Sequences With Respect to A Modulus Function

Cemal BELEN, (Ordu Üniversitesi, Matematik Öğretmenliği Bölümü, Ordu, Türkiye)

Mustafa YILDIRIM (Sivas Cumhuriyet Üniversitesi, Fen Fakültesi, Matematik Bölümü, Sivas, Türkiye)

Cumhuriyet Science Journal

2 0

Yıl: 2023 Cilt: 44 Sayı: 4 Sayfa Aralığı: 753 - 757 Metin Dili: İngilizce DOI: 10.17776/csj.1334082 İndeks Tarihi: 03-01-2024

On Deferred Statistical and Strong Deferred Cesàro Convergences of Sequences With Respect to A Modulus Function

Öz:

Let f be any modulus function. We prove that the classes of strongly deferred Cesàro convergent sequences defined by f and deferred statistical convergent sequences are equivalent if the sequence is f-deferred uniformly integrable. Some converse inclusions are obtained when the modulus function f is compatible. Finally, for any compatible modulus f, we prove that any sequence is f-strongly deferred Cesàro convergent if and ony if it is deferred f-statistically convergent and deferred uniformly integrable.

Anahtar Kelime: Deferred statistical convergence Strong deferred convergence Uniformly integrable sequence Compatible modulus function.

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	Belen C, Yildirim M (2023). On Deferred Statistical and Strong Deferred Cesàro Convergences of Sequences With Respect to A Modulus Function. , 753 - 757. 10.17776/csj.1334082
Chicago	Belen Cemal,Yildirim Mustafa On Deferred Statistical and Strong Deferred Cesàro Convergences of Sequences With Respect to A Modulus Function. (2023): 753 - 757. 10.17776/csj.1334082
MLA	Belen Cemal,Yildirim Mustafa On Deferred Statistical and Strong Deferred Cesàro Convergences of Sequences With Respect to A Modulus Function. , 2023, ss.753 - 757. 10.17776/csj.1334082
AMA	Belen C,Yildirim M On Deferred Statistical and Strong Deferred Cesàro Convergences of Sequences With Respect to A Modulus Function. . 2023; 753 - 757. 10.17776/csj.1334082
Vancouver	Belen C,Yildirim M On Deferred Statistical and Strong Deferred Cesàro Convergences of Sequences With Respect to A Modulus Function. . 2023; 753 - 757. 10.17776/csj.1334082
IEEE	Belen C,Yildirim M "On Deferred Statistical and Strong Deferred Cesàro Convergences of Sequences With Respect to A Modulus Function." , ss.753 - 757, 2023. 10.17776/csj.1334082
ISNAD	Belen, Cemal - Yildirim, Mustafa. "On Deferred Statistical and Strong Deferred Cesàro Convergences of Sequences With Respect to A Modulus Function". (2023), 753-757. https://doi.org/10.17776/csj.1334082

APA	Belen C, Yildirim M (2023). On Deferred Statistical and Strong Deferred Cesàro Convergences of Sequences With Respect to A Modulus Function. Cumhuriyet Science Journal, 44(4), 753 - 757. 10.17776/csj.1334082
Chicago	Belen Cemal,Yildirim Mustafa On Deferred Statistical and Strong Deferred Cesàro Convergences of Sequences With Respect to A Modulus Function. Cumhuriyet Science Journal 44, no.4 (2023): 753 - 757. 10.17776/csj.1334082
MLA	Belen Cemal,Yildirim Mustafa On Deferred Statistical and Strong Deferred Cesàro Convergences of Sequences With Respect to A Modulus Function. Cumhuriyet Science Journal, vol.44, no.4, 2023, ss.753 - 757. 10.17776/csj.1334082
AMA	Belen C,Yildirim M On Deferred Statistical and Strong Deferred Cesàro Convergences of Sequences With Respect to A Modulus Function. Cumhuriyet Science Journal. 2023; 44(4): 753 - 757. 10.17776/csj.1334082
Vancouver	Belen C,Yildirim M On Deferred Statistical and Strong Deferred Cesàro Convergences of Sequences With Respect to A Modulus Function. Cumhuriyet Science Journal. 2023; 44(4): 753 - 757. 10.17776/csj.1334082
IEEE	Belen C,Yildirim M "On Deferred Statistical and Strong Deferred Cesàro Convergences of Sequences With Respect to A Modulus Function." Cumhuriyet Science Journal, 44, ss.753 - 757, 2023. 10.17776/csj.1334082
ISNAD	Belen, Cemal - Yildirim, Mustafa. "On Deferred Statistical and Strong Deferred Cesàro Convergences of Sequences With Respect to A Modulus Function". Cumhuriyet Science Journal 44/4 (2023), 753-757. https://doi.org/10.17776/csj.1334082