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

Yıl 2021, Cilt: 4 Sayı: 1, 45 - 48, 01.03.2021
https://doi.org/10.33401/fujma.842104

Öz

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.

Destekleyen Kurum

TÜBİTAK

Proje Numarası

120F082

Teşekkür

This study is supported by TÜBİTAK (Scientific and Technological Research Council of Turkey) with the project number 120F082.

Kaynakça

  • [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.
Yıl 2021, Cilt: 4 Sayı: 1, 45 - 48, 01.03.2021
https://doi.org/10.33401/fujma.842104

Öz

Proje Numarası

120F082

Kaynakça

  • [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.
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Uğur Ulusu 0000-0001-7658-6114

Fatih Nuray 0000-0003-0160-4001

Erdinç Dündar 0000-0002-0545-7486

Proje Numarası 120F082
Yayımlanma Tarihi 1 Mart 2021
Gönderilme Tarihi 16 Aralık 2020
Kabul Tarihi 25 Şubat 2021
Yayımlandığı Sayı Yıl 2021 Cilt: 4 Sayı: 1

Kaynak Göster

APA 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, 4(1), 45-48. https://doi.org/10.33401/fujma.842104
AMA Ulusu U, Nuray F, Dündar E. $\mathfrak{I}$-Limit and $\mathfrak{I}$-Cluster Points for Functions Defined on Amenable Semigroups. FUJMA. Mart 2021;4(1):45-48. doi:10.33401/fujma.842104
Chicago Ulusu, Uğur, Fatih Nuray, ve Erdinç Dündar. “$\mathfrak{I}$-Limit and $\mathfrak{I}$-Cluster Points for Functions Defined on Amenable Semigroups”. Fundamental Journal of Mathematics and Applications 4, sy. 1 (Mart 2021): 45-48. https://doi.org/10.33401/fujma.842104.
EndNote Ulusu U, Nuray F, Dündar E (01 Mart 2021) $\mathfrak{I}$-Limit and $\mathfrak{I}$-Cluster Points for Functions Defined on Amenable Semigroups. Fundamental Journal of Mathematics and Applications 4 1 45–48.
IEEE U. Ulusu, F. Nuray, ve E. Dündar, “$\mathfrak{I}$-Limit and $\mathfrak{I}$-Cluster Points for Functions Defined on Amenable Semigroups”, FUJMA, c. 4, sy. 1, ss. 45–48, 2021, doi: 10.33401/fujma.842104.
ISNAD Ulusu, Uğur vd. “$\mathfrak{I}$-Limit and $\mathfrak{I}$-Cluster Points for Functions Defined on Amenable Semigroups”. Fundamental Journal of Mathematics and Applications 4/1 (Mart 2021), 45-48. https://doi.org/10.33401/fujma.842104.
JAMA Ulusu U, Nuray F, Dündar E. $\mathfrak{I}$-Limit and $\mathfrak{I}$-Cluster Points for Functions Defined on Amenable Semigroups. FUJMA. 2021;4:45–48.
MLA Ulusu, Uğur vd. “$\mathfrak{I}$-Limit and $\mathfrak{I}$-Cluster Points for Functions Defined on Amenable Semigroups”. Fundamental Journal of Mathematics and Applications, c. 4, sy. 1, 2021, ss. 45-48, doi:10.33401/fujma.842104.
Vancouver Ulusu U, Nuray F, Dündar E. $\mathfrak{I}$-Limit and $\mathfrak{I}$-Cluster Points for Functions Defined on Amenable Semigroups. FUJMA. 2021;4(1):45-8.

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