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Journals / Fundamental Journal of Mathematics and Applications / 2020 / Volume: 3 Issue: 2

On the Logarithmic Summability of Sequences in Intuitionistic Fuzzy Normed Spaces

Enes Yavuz(MANISA CELAL BAYAR UNIVERSITY)0000-0002-4335-5210
Pages
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Publication Date
2020-12-15
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AI Summary & Key Takeaways

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

A comparison theorem between Ces\`{a}ro summability method and logarithmic summability method in $IFNS$ is also proved in the paper.

📌 3 Key Takeaways

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Objective & Hypothesis:We introduce logarithmic summability in intuitionistic fuzzy normed spaces($IFNS$) and give some Tauberian conditions for which logarithmic summability yields convergence in $IFNS$.
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Key Findings & Data:Besides, we define the concept of slow oscillation with respect to logarithmic summability in $IFNS$, investigate its relation with the concept of q-boundedness and give Tauberian theorems by means of q-boundedness and slow oscillation with respect to logarithmic summability.
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Conclusion & Impact:A comparison theorem between Ces\`{a}ro summability method and logarithmic summability method in $IFNS$ is also proved in the paper.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Intuitionistic fuzzy normed space · Logarithmic summability · Slow oscillation

Abstract

We introduce logarithmic summability in intuitionistic fuzzy normed spaces($IFNS$) and give some Tauberian conditions for which logarithmic summability yields convergence in $IFNS$. Besides, we define the concept of slow oscillation with respect to logarithmic summability in $IFNS$, investigate its relation with the concept of q-boundedness and give Tauberian theorems by means of q-boundedness and slow oscillation with respect to logarithmic summability. A comparison theorem between Ces\`{a}ro summability method and logarithmic summability method in $IFNS$ is also proved in the paper.

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Cite This Article

Yavuz, E. (2020). On the Logarithmic Summability of Sequences in Intuitionistic Fuzzy Normed Spaces. Fundamental Journal of Mathematics and Applications, Volume: 3 Issue: 2. https://doi.org/10.33401/fujma.792994

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