Lacunary I-invariant convergence

Ulusu, Uğur; Nuray, Fatih

doi:10.17776/csj.689877

Lacunary I-invariant convergence

Uğur ULUSU, (Afyon Kocatepe Üniversitesi, Matematik Bölümü, Afyonkarahisar, Türkiye)

Fatih NURAY (Afyon Kocatepe Üniversitesi, Matematik Bölümü, Afyonkarahisar, Türkiye)

Cumhuriyet Science Journal

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Yıl: 2020 Cilt: 41 Sayı: 3 Sayfa Aralığı: 617 - 624 Metin Dili: İngilizce DOI: 10.17776/csj.689877 İndeks Tarihi: 01-11-2021

Lacunary I-invariant convergence

Öz:

In this study, firstly, we introduce the notion of lacunary invariant uniform density of any subset E of the set N (the set of all natural numbers). Then, as associated with this notion, we give the definition of lacunary I_σ-convergence for real sequences. Furthermore, we examine relations between this new type convergence notion and the notions of lacunary invariant summability, lacunary strongly q-invariant summability and lacunary σ-statistical convergence which are studied in this area before. Finally, introducing the notions of lacunary I_σ^*-convergence and I_σ-Cauchy sequence, we give the relations between these notions and the notion of lacunary I_σ-convergence.

Anahtar Kelime:

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

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APA	Ulusu U, Nuray F (2020). Lacunary I-invariant convergence. , 617 - 624. 10.17776/csj.689877
Chicago	Ulusu Uğur,Nuray Fatih Lacunary I-invariant convergence. (2020): 617 - 624. 10.17776/csj.689877
MLA	Ulusu Uğur,Nuray Fatih Lacunary I-invariant convergence. , 2020, ss.617 - 624. 10.17776/csj.689877
AMA	Ulusu U,Nuray F Lacunary I-invariant convergence. . 2020; 617 - 624. 10.17776/csj.689877
Vancouver	Ulusu U,Nuray F Lacunary I-invariant convergence. . 2020; 617 - 624. 10.17776/csj.689877
IEEE	Ulusu U,Nuray F "Lacunary I-invariant convergence." , ss.617 - 624, 2020. 10.17776/csj.689877
ISNAD	Ulusu, Uğur - Nuray, Fatih. "Lacunary I-invariant convergence". (2020), 617-624. https://doi.org/10.17776/csj.689877

APA	Ulusu U, Nuray F (2020). Lacunary I-invariant convergence. Cumhuriyet Science Journal, 41(3), 617 - 624. 10.17776/csj.689877
Chicago	Ulusu Uğur,Nuray Fatih Lacunary I-invariant convergence. Cumhuriyet Science Journal 41, no.3 (2020): 617 - 624. 10.17776/csj.689877
MLA	Ulusu Uğur,Nuray Fatih Lacunary I-invariant convergence. Cumhuriyet Science Journal, vol.41, no.3, 2020, ss.617 - 624. 10.17776/csj.689877
AMA	Ulusu U,Nuray F Lacunary I-invariant convergence. Cumhuriyet Science Journal. 2020; 41(3): 617 - 624. 10.17776/csj.689877
Vancouver	Ulusu U,Nuray F Lacunary I-invariant convergence. Cumhuriyet Science Journal. 2020; 41(3): 617 - 624. 10.17776/csj.689877
IEEE	Ulusu U,Nuray F "Lacunary I-invariant convergence." Cumhuriyet Science Journal, 41, ss.617 - 624, 2020. 10.17776/csj.689877
ISNAD	Ulusu, Uğur - Nuray, Fatih. "Lacunary I-invariant convergence". Cumhuriyet Science Journal 41/3 (2020), 617-624. https://doi.org/10.17776/csj.689877