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Journals / Adıyaman Üniversitesi Fen Bilimleri Dergisi / 2021 / Cilt: 11 Sayı: 2

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

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

Uğur Ulusu(SİVAS CUMHURİYET UNIVERSITY)0000-0001-7658-6114
Erdinç Dündar(AFYON KOCATEPE UNIVERSITY)0000-0002-0545-7486
Fatih Nuray(AFYON KOCATEPE UNIVERSITY)0000-0003-0160-4001
Pages
421–430
Publication Date
2021-12-31
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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.
📊
Key Findings & Data: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.
💡
Conclusion & Impact: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.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Asimptotik denklik · Wijsman anlamında yakınsaklık · Çift lacunary dizi

Abstract

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.

Özet

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.

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Cite This Article

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, Cilt: 11 Sayı: 2, 421–430. https://doi.org/10.37094/adyujsci.956986

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