On statistical limit points with respect to power series methods and modulus functions

Yildirim, Mustafa; SÜMBÜL, CANAN; Belen, Cemal

doi:10.31801/cfsuasmas.1124351

On statistical limit points with respect to power series methods and modulus functions

Canan SÜMBÜL, (Cumhuriyet Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü, Sivas, Türkiye)

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

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

Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics

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Yıl: 2023 Cilt: 72 Sayı: 2 Sayfa Aralığı: 438 - 448 Metin Dili: İngilizce DOI: 10.31801/cfsuasmas.1124351 İndeks Tarihi: 29-06-2023

On statistical limit points with respect to power series methods and modulus functions

Öz:

In this study, we define a new type of statistical limit point using the notions of statistical convergence with respect to the $J_p$ power series method and then we present some examples to show the relations between these points and ordinary limit points. After that we also study statistical limit points of a sequence with the help of a modulus function in the sense of the $J_p$ power series method. Namely, we define $f-J_p$-statistical limit and cluster points of the real sequences and compare the set of these limit points with the set of ordinary points.

Anahtar Kelime: $J_p$-statistical limit points $J_p$-statistical cluster points $f-J_p$-statistical limit points

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

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APA	SÜMBÜL C, Belen C, Yildirim M (2023). On statistical limit points with respect to power series methods and modulus functions. , 438 - 448. 10.31801/cfsuasmas.1124351
Chicago	SÜMBÜL CANAN,Belen Cemal,Yildirim Mustafa On statistical limit points with respect to power series methods and modulus functions. (2023): 438 - 448. 10.31801/cfsuasmas.1124351
MLA	SÜMBÜL CANAN,Belen Cemal,Yildirim Mustafa On statistical limit points with respect to power series methods and modulus functions. , 2023, ss.438 - 448. 10.31801/cfsuasmas.1124351
AMA	SÜMBÜL C,Belen C,Yildirim M On statistical limit points with respect to power series methods and modulus functions. . 2023; 438 - 448. 10.31801/cfsuasmas.1124351
Vancouver	SÜMBÜL C,Belen C,Yildirim M On statistical limit points with respect to power series methods and modulus functions. . 2023; 438 - 448. 10.31801/cfsuasmas.1124351
IEEE	SÜMBÜL C,Belen C,Yildirim M "On statistical limit points with respect to power series methods and modulus functions." , ss.438 - 448, 2023. 10.31801/cfsuasmas.1124351
ISNAD	SÜMBÜL, CANAN vd. "On statistical limit points with respect to power series methods and modulus functions". (2023), 438-448. https://doi.org/10.31801/cfsuasmas.1124351

APA	SÜMBÜL C, Belen C, Yildirim M (2023). On statistical limit points with respect to power series methods and modulus functions. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 72(2), 438 - 448. 10.31801/cfsuasmas.1124351
Chicago	SÜMBÜL CANAN,Belen Cemal,Yildirim Mustafa On statistical limit points with respect to power series methods and modulus functions. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 72, no.2 (2023): 438 - 448. 10.31801/cfsuasmas.1124351
MLA	SÜMBÜL CANAN,Belen Cemal,Yildirim Mustafa On statistical limit points with respect to power series methods and modulus functions. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.72, no.2, 2023, ss.438 - 448. 10.31801/cfsuasmas.1124351
AMA	SÜMBÜL C,Belen C,Yildirim M On statistical limit points with respect to power series methods and modulus functions. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2023; 72(2): 438 - 448. 10.31801/cfsuasmas.1124351
Vancouver	SÜMBÜL C,Belen C,Yildirim M On statistical limit points with respect to power series methods and modulus functions. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2023; 72(2): 438 - 448. 10.31801/cfsuasmas.1124351
IEEE	SÜMBÜL C,Belen C,Yildirim M "On statistical limit points with respect to power series methods and modulus functions." Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 72, ss.438 - 448, 2023. 10.31801/cfsuasmas.1124351
ISNAD	SÜMBÜL, CANAN vd. "On statistical limit points with respect to power series methods and modulus functions". Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 72/2 (2023), 438-448. https://doi.org/10.31801/cfsuasmas.1124351