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Journals / Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi / 2020 / Cilt: 20 - Sayı: 1

𝜶𝜷-Statistical 𝒆-Convergence for Double Sequences

Çift Diziler için 𝜶𝜷-İstatistiksel 𝒆-Yakınsaklık

Yurdal SEVER
Pages
41–46
Publication Date
2022-10-12
DOI
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AI Summary & Key Takeaways

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

Finally wegive some theorems related to them.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this article, we define the concept of αβ natural density which is a generalization of the naturaldensity concept given for pairs of integer.
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Key Findings & Data:The concept of 𝛼𝛽-statistical 𝑒-convergence is introducedwith the help of this density.
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Conclusion & Impact:Finally wegive some theorems related to them.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this article, we define the concept of αβ natural density which is a generalization of the naturaldensity concept given for pairs of integer. The concept of 𝛼𝛽-statistical 𝑒-convergence is introducedwith the help of this density. After that some elementary properties of this type of convergence areexamined. Also, we define the notions of 𝛼𝛽-statistical limit inferior and superior in 𝑒-sense. Finally wegive some theorems related to them.

Özet

Bu makalede, tam sayı ikilileri için verilen yoğunluk kavramının bir genelleştirilmesi olan 𝛼𝛽 doğal yoğunluk kavramını tanımladık. Bu yoğunluk kavramı yardımıyla çift diziler için 𝛼𝛽-istatistiksel 𝑒-yakınsaklık kavramı tanıtıldı. Daha sonra bu tip yakınsaklığın temel özellikleri incelendi. Ayrıca, 𝑒-anlamında 𝛼𝛽-istatistiksel alt limit ve üst limit kavramlarını tanımladık. Son olarak bu kavramlarla ilgili teoremler verdik.

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Cite This Article

SEVER, Y. (2022). 𝜶𝜷-Statistical 𝒆-Convergence for Double Sequences. Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi, Cilt: 20 - Sayı: 1, 41–46. https://ajindex.com/articles/429800

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References (3)

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