Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2021, Cilt: 9 Sayı: 2, 233 - 237, 15.10.2021

Öz

Kaynakça

  • J. Connor, The statistical and strong p-Cesáro convergence of sequences, Analysis, Vol: 8, No: 1-2, (1988), 47- 64.
  • J. Connor and K. Grosse-Erdmann, Sequential definitions of continuity for real functions, Rocky Mountain J. Math., Vol: 33, No: 1, (2003), 93- 122.
  • Á. Császár, Generalized topology, generalized continuity, Acta Math. Hungar., Vol: 96, (2002), 351- 357.
  • Á. Császár, Extremally disconnected generalized topologies, Annales Univ. Sci. Budapest., Vol: 47, (2004), 91- 96.
  • H. Çakallı, Sequential definitions of compactness, App. Math. Lett., Vol: 21, No: 6, (2008), 594- 598.
  • H. Çakallı, Sequential definitions of connectedness, App. Math. Lett., Vol: 25, (2012), 461- 465.
  • G. Di Maio and Lj. D. R. Kočinac, Statistical convergence in topology, Topology Appl., Vol: 156, No: 1, (2008), 28-45.
  • F. Gürcan and A. Çaksu Güler, On connectedness via a G-method and a hereditary class, Konuralp Journal of Mathematics, Vol: 8, No: 2, (2020), 370- 375.
  • R. A. Hosny, Modification of soft topology via soft stacks, Information, Vol: 19, No: 10, (2016), 4623- 4632.
  • R. A. Hosny and D. Al-Kadi, Supra soft topology generated from soft topology via soft stack, South Asian Journal of Mathematics, Vol: 7, No: 1, (2017), 25-33.
  • W. Min and Y. K. Kim, Operators induced by stacks on a topological space, International Journal of Pure and Applied Mathematics, Vol: 78, No: 6, (2012), 887- 894.
  • O. Mucuk and T. Şahan, On G-sequential continuity, Filomat, Vol: 28, No: 6, (2014), 1181- 1189.
  • G. Grimeisen, Gefilterte summation von filtern and iterierte grenzproesse, Math. Annalen I, Vol: 141, (1960), 318- 342.
  • S. Lin and L. Liu, G-methods, G-sequential spaces and G-continuity in topological spaces, Topology Appl., Vol: 212, (2016), 29-48.
  • L. Liu, G-derived sets and G-boundary, J. Yangzhou Univ. Nat. Sci., Vol: 20, No: 1, (2017), 18- 22.
  • L. Liu, G-kernel-open sets, G-kernel-neighborhoods and G-kernel derived sets, Journal of Mathematical Research with Appl., Vol: 38, No: 3, (2018), 276- 286.
  • V. Renukadevi and B. Prakash, Some characterizations of spaces with weak form of cs-networks, J. Math. Res. Appl., Vol: 36, No: 3, (2016), 369- 378.
  • Z. Tang and F. Lin, Statistical versions of sequential and Fréchet-Urysohn spaces, Adv. Math., Vol: 44, No: 6, (2015), 945-954.
  • W. J. Thron, Proximity structures and grills, Math. Ann., Vol: 206, No: 4, (1973), 35- 62.
  • Y. Wu and F. Lin, The G-connected property and the G-topological groups, Filomat, Vol: 33, No: 14, (2019), 4441- 4450.
  • A. Zygmund, Trigonometric series, Cambridge Univ. Press, New York, (1959).

On Some Operators Generated by $G$-Method and Stack

Yıl 2021, Cilt: 9 Sayı: 2, 233 - 237, 15.10.2021

Öz

In this paper, two operators φGS,ΨGSφSG,ΨSG are introduced by using GG-method and stack, and a strong generalized topology τGSτSG which is finer than GG- generalized topology is obtained via the operator ΨGSΨSG. In addition, two new operators ΓGS,ΨGΓΓSG,ΨΓG are defined and a new strong generalized topology σGSσSG is attained by ΨGΓΨΓG. Basic properties of these operators are investigated and the relationships between these two strong topologies obtained and GG-generalized topology are examined.

Kaynakça

  • J. Connor, The statistical and strong p-Cesáro convergence of sequences, Analysis, Vol: 8, No: 1-2, (1988), 47- 64.
  • J. Connor and K. Grosse-Erdmann, Sequential definitions of continuity for real functions, Rocky Mountain J. Math., Vol: 33, No: 1, (2003), 93- 122.
  • Á. Császár, Generalized topology, generalized continuity, Acta Math. Hungar., Vol: 96, (2002), 351- 357.
  • Á. Császár, Extremally disconnected generalized topologies, Annales Univ. Sci. Budapest., Vol: 47, (2004), 91- 96.
  • H. Çakallı, Sequential definitions of compactness, App. Math. Lett., Vol: 21, No: 6, (2008), 594- 598.
  • H. Çakallı, Sequential definitions of connectedness, App. Math. Lett., Vol: 25, (2012), 461- 465.
  • G. Di Maio and Lj. D. R. Kočinac, Statistical convergence in topology, Topology Appl., Vol: 156, No: 1, (2008), 28-45.
  • F. Gürcan and A. Çaksu Güler, On connectedness via a G-method and a hereditary class, Konuralp Journal of Mathematics, Vol: 8, No: 2, (2020), 370- 375.
  • R. A. Hosny, Modification of soft topology via soft stacks, Information, Vol: 19, No: 10, (2016), 4623- 4632.
  • R. A. Hosny and D. Al-Kadi, Supra soft topology generated from soft topology via soft stack, South Asian Journal of Mathematics, Vol: 7, No: 1, (2017), 25-33.
  • W. Min and Y. K. Kim, Operators induced by stacks on a topological space, International Journal of Pure and Applied Mathematics, Vol: 78, No: 6, (2012), 887- 894.
  • O. Mucuk and T. Şahan, On G-sequential continuity, Filomat, Vol: 28, No: 6, (2014), 1181- 1189.
  • G. Grimeisen, Gefilterte summation von filtern and iterierte grenzproesse, Math. Annalen I, Vol: 141, (1960), 318- 342.
  • S. Lin and L. Liu, G-methods, G-sequential spaces and G-continuity in topological spaces, Topology Appl., Vol: 212, (2016), 29-48.
  • L. Liu, G-derived sets and G-boundary, J. Yangzhou Univ. Nat. Sci., Vol: 20, No: 1, (2017), 18- 22.
  • L. Liu, G-kernel-open sets, G-kernel-neighborhoods and G-kernel derived sets, Journal of Mathematical Research with Appl., Vol: 38, No: 3, (2018), 276- 286.
  • V. Renukadevi and B. Prakash, Some characterizations of spaces with weak form of cs-networks, J. Math. Res. Appl., Vol: 36, No: 3, (2016), 369- 378.
  • Z. Tang and F. Lin, Statistical versions of sequential and Fréchet-Urysohn spaces, Adv. Math., Vol: 44, No: 6, (2015), 945-954.
  • W. J. Thron, Proximity structures and grills, Math. Ann., Vol: 206, No: 4, (1973), 35- 62.
  • Y. Wu and F. Lin, The G-connected property and the G-topological groups, Filomat, Vol: 33, No: 14, (2019), 4441- 4450.
  • A. Zygmund, Trigonometric series, Cambridge Univ. Press, New York, (1959).
Toplam 21 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Articles
Yazarlar

Esra Dalan Yıldırım

Yayımlanma Tarihi 15 Ekim 2021
Gönderilme Tarihi 9 Mart 2021
Kabul Tarihi 20 Eylül 2021
Yayımlandığı Sayı Yıl 2021 Cilt: 9 Sayı: 2

Kaynak Göster

APA Dalan Yıldırım, E. (2021). On Some Operators Generated by $G$-Method and Stack. Konuralp Journal of Mathematics, 9(2), 233-237.
AMA Dalan Yıldırım E. On Some Operators Generated by $G$-Method and Stack. Konuralp J. Math. Ekim 2021;9(2):233-237.
Chicago Dalan Yıldırım, Esra. “On Some Operators Generated by $G$-Method and Stack”. Konuralp Journal of Mathematics 9, sy. 2 (Ekim 2021): 233-37.
EndNote Dalan Yıldırım E (01 Ekim 2021) On Some Operators Generated by $G$-Method and Stack. Konuralp Journal of Mathematics 9 2 233–237.
IEEE E. Dalan Yıldırım, “On Some Operators Generated by $G$-Method and Stack”, Konuralp J. Math., c. 9, sy. 2, ss. 233–237, 2021.
ISNAD Dalan Yıldırım, Esra. “On Some Operators Generated by $G$-Method and Stack”. Konuralp Journal of Mathematics 9/2 (Ekim 2021), 233-237.
JAMA Dalan Yıldırım E. On Some Operators Generated by $G$-Method and Stack. Konuralp J. Math. 2021;9:233–237.
MLA Dalan Yıldırım, Esra. “On Some Operators Generated by $G$-Method and Stack”. Konuralp Journal of Mathematics, c. 9, sy. 2, 2021, ss. 233-7.
Vancouver Dalan Yıldırım E. On Some Operators Generated by $G$-Method and Stack. Konuralp J. Math. 2021;9(2):233-7.
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