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Dergiler / Fundamental Journal of Mathematics and Applications / 2021 / Cilt: 4 Sayı: 1

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

Uğur ULUSU
Fatih NURAY
Erdinç DÜNDAR
Sayfa
45–48
Yayın Tarihi
2021-03-01
DOI
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Then, for the functions, notions of $\mathfrak{I}$-limit superior and inferior are examined.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı:Then, for the functions, notions of $\mathfrak{I}$-limit superior and inferior are examined.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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, Cilt: 4 Sayı: 1, 45–48. https://ajindex.com/articles/905709

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Kaynakça (9)

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  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.