Invariant and Lacunary Invariant Statistical Equivalence of Order β for Double Set Sequences

Uğur ULUSU, (Sivas Cumhuriyet Üniversitesi, Sivas, Türkiye)
Erdinç DÜNDAR, (Afyon Kocatepe Üniversitesi, Matematik Bölümü, Afyonkarahisar, Türkiye)
Fatih NURAY (Afyon Kocatepe Üniversitesi, Matematik Bölümü, Afyonkarahisar, Türkiye)
Adıyaman Üniversitesi Fen Bilimleri Dergisi
3 0
Yıl: 2021 Cilt: 11 Sayı: 2 Sayfa Aralığı: 421 - 430 Metin Dili: İngilizce DOI: 10.37094/adyujsci.956986 İndeks Tarihi: 29-07-2022

Invariant and Lacunary Invariant Statistical Equivalence of Order β for Double Set Sequences

Öz:
In this study, as a new approach to the concept of asymptotical equivalence in the Wijsman sense for double set sequences, the new concepts which are called asymptotical invariant statistical equivalence of order β and asymptotical lacunary invariant statistical equivalence of order β (0<β≤1) in the Wijsman sense for double set sequences are introduced and explained with examples. In addition, the existence of some relations between these concepts and furthermore, the relationships between these concepts and previously studied asymptotical equivalence concepts in the Wijsman sense for double set sequences are investigated.
Anahtar Kelime: Sequences of sets Double lacunary sequence Asymptotical equivalence Invariant statistical convergence Convergence in the Wijsman sense Order β

Çift Küme Dizileri için β ıncı Mertebeden İnvaryant ve Lacunary İnvaryant İstatistiksel Denklik

Öz:
Bu çalışmada, çift küme dizileri için Wijsman anlamında asimptotik denklik kavramına yeni bir yaklaşım olarak, çift küme dizileri için Wijsman anlamında β (0<β≤1) yıncı mertebeden asimptotik invaryant istatistiksel denklik ve asimptotik lacunary invaryant istatistiksel denklik olarak adlandırılan yeni kavramlar tanıtıldı ve örneklerle açıklandı. Ayrıca, bu kavramlar arasında bazı ilişkilerin varlığı ve dahası bu kavramlar ve daha önceden çift küme dizileri için Wijsman anlamında çalışılmış asimptotik denklik kavramları arasındaki ilişkiler incelendi.   
Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA Ulusu U, DÜNDAR E, Nuray F (2021). Invariant and Lacunary Invariant Statistical Equivalence of Order β for Double Set Sequences. , 421 - 430. 10.37094/adyujsci.956986
Chicago Ulusu Uğur,DÜNDAR ERDINÇ,Nuray Fatih Invariant and Lacunary Invariant Statistical Equivalence of Order β for Double Set Sequences. (2021): 421 - 430. 10.37094/adyujsci.956986
MLA Ulusu Uğur,DÜNDAR ERDINÇ,Nuray Fatih Invariant and Lacunary Invariant Statistical Equivalence of Order β for Double Set Sequences. , 2021, ss.421 - 430. 10.37094/adyujsci.956986
AMA Ulusu U,DÜNDAR E,Nuray F Invariant and Lacunary Invariant Statistical Equivalence of Order β for Double Set Sequences. . 2021; 421 - 430. 10.37094/adyujsci.956986
Vancouver Ulusu U,DÜNDAR E,Nuray F Invariant and Lacunary Invariant Statistical Equivalence of Order β for Double Set Sequences. . 2021; 421 - 430. 10.37094/adyujsci.956986
IEEE Ulusu U,DÜNDAR E,Nuray F "Invariant and Lacunary Invariant Statistical Equivalence of Order β for Double Set Sequences." , ss.421 - 430, 2021. 10.37094/adyujsci.956986
ISNAD Ulusu, Uğur vd. "Invariant and Lacunary Invariant Statistical Equivalence of Order β for Double Set Sequences". (2021), 421-430. https://doi.org/10.37094/adyujsci.956986
APA Ulusu U, DÜNDAR E, Nuray F (2021). Invariant and Lacunary Invariant Statistical Equivalence of Order β for Double Set Sequences. Adıyaman Üniversitesi Fen Bilimleri Dergisi, 11(2), 421 - 430. 10.37094/adyujsci.956986
Chicago Ulusu Uğur,DÜNDAR ERDINÇ,Nuray Fatih Invariant and Lacunary Invariant Statistical Equivalence of Order β for Double Set Sequences. Adıyaman Üniversitesi Fen Bilimleri Dergisi 11, no.2 (2021): 421 - 430. 10.37094/adyujsci.956986
MLA Ulusu Uğur,DÜNDAR ERDINÇ,Nuray Fatih Invariant and Lacunary Invariant Statistical Equivalence of Order β for Double Set Sequences. Adıyaman Üniversitesi Fen Bilimleri Dergisi, vol.11, no.2, 2021, ss.421 - 430. 10.37094/adyujsci.956986
AMA Ulusu U,DÜNDAR E,Nuray F Invariant and Lacunary Invariant Statistical Equivalence of Order β for Double Set Sequences. Adıyaman Üniversitesi Fen Bilimleri Dergisi. 2021; 11(2): 421 - 430. 10.37094/adyujsci.956986
Vancouver Ulusu U,DÜNDAR E,Nuray F Invariant and Lacunary Invariant Statistical Equivalence of Order β for Double Set Sequences. Adıyaman Üniversitesi Fen Bilimleri Dergisi. 2021; 11(2): 421 - 430. 10.37094/adyujsci.956986
IEEE Ulusu U,DÜNDAR E,Nuray F "Invariant and Lacunary Invariant Statistical Equivalence of Order β for Double Set Sequences." Adıyaman Üniversitesi Fen Bilimleri Dergisi, 11, ss.421 - 430, 2021. 10.37094/adyujsci.956986
ISNAD Ulusu, Uğur vd. "Invariant and Lacunary Invariant Statistical Equivalence of Order β for Double Set Sequences". Adıyaman Üniversitesi Fen Bilimleri Dergisi 11/2 (2021), 421-430. https://doi.org/10.37094/adyujsci.956986
Sayfa Oluşturulma Tarihi
23-04-2024 22:1

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