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Journals / Fundamental Journal of Mathematics and Applications / 2026 / Volume: 4 Issue: 1

$\mathfrak{I}$-Limit and $\mathfrak{I}$-Cluster Points for Functions Defined on Amenable Semigroups

Uğur Ulusu(SİVAS CUMHURİYET UNIVERSITY)0000-0001-7658-6114
Fatih Nuray(AFYON KOCATEPE UNIVERSITY)0000-0003-0160-4001
Erdinç Dündar(AFYON KOCATEPE UNIVERSITY)0000-0002-0545-7486
Pages
—
Publication Date
2021-03-01
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⚡ TL;DR(Too Long; Didn't Read)

Then, for the functions, notions of $\mathfrak{I}$-limit superior and inferior are examined.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper firstly, for functions defined on discrete countable amenable semigroups (DCASG), notions of $\mathfrak{I}$-limit and $\mathfrak{I}$-cluster points are introduced.
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Key Findings & Data:In this paper firstly, for functions defined on discrete countable amenable semigroups (DCASG), notions of $\mathfrak{I}$-limit and $\mathfrak{I}$-cluster points are introduced.
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Conclusion & Impact:Then, for the functions, notions of $\mathfrak{I}$-limit superior and inferior are examined.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Amenable semigroups · Folner sequence · I-Convergence

Abstract

In this paper firstly, for functions defined on discrete countable amenable semigroups (DCASG), notions of $\mathfrak{I}$-limit and $\mathfrak{I}$-cluster points are introduced. Then, for the functions, notions of $\mathfrak{I}$-limit superior and inferior are examined.

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Cite This Article

Ulusu, U., Nuray, F., Dündar, E. (2021). $\mathfrak{I}$-Limit and $\mathfrak{I}$-Cluster Points for Functions Defined on Amenable Semigroups. Fundamental Journal of Mathematics and Applications, Volume: 4 Issue: 1. https://doi.org/10.33401/fujma.842104

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References (9)

  1. P. Kostyrko, T. Salat, W. Wilczy´nski, I-convergence, Real Anal. Exchange, 26(2) (2000), 669–686.
  2. P. Kostyrko, M. Macaj, T. Salat, M. Sleziak, I-convergence and extremal I-limit points, Math. Slovaca, 55 (2005), 443–464.
  3. K. Demirci, I-limit superior and limit inferior, Math. Commun., 6 (2001), 165–172.
  4. M. Day, Amenable semigroups, Illinois J. Math., 1 (1957), 509–544.
  5. S. A. Douglass, On a concept of summability in amenable semigroups, Math. Scand., 28 (1968), 96–102.
  6. P. F. Mah, Summability in amenable semigroups, Trans. Amer. Math. Soc., 156 (1971), 391–403.
  7. F. Nuray, B. E. Rhoades, Some kinds of convergence defined by Folner sequences, Analysis, 31(4) (2011), 381–390.
  8. E. Dündar, F. Nuray, U. Ulusu, I-convergent functions defined on amenable semigroups, (in review).
  9. I. Namioka, Følner’s conditions for amenable semigroups, Math. Scand., 15 (1964), 18–28.