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Yıl 2020, Cilt: 3 Sayı: 1, 145 - 149, 15.12.2020

Mukaddes Arslan , Erdinç Dündar

Öz

Kaynakça

  • 1 M. Arslan, E. Dündar, I-Convergence and I-Cauchy Sequence of Functions In 2-Normed Spaces, Konuralp J. Math. 6(1) (2018) 57–62.
  • 2 M. Arslan, E. Dündar, On I-Convergence of sequences of functions in 2-normed spaces, Southeast Asian Bull. Math. 42 (2018), 491–502.
  • 3 M. Arslan, E. Dündar, Rough convergence in 2-normed spaces, Bull. Math. Anal. Appl. 10(3) (2018), 1–9.
  • 4 M. Arslan, E. Dündar, On Rough Convergence in 2-Normed Spaces and Some Properties, Filomat 33(16) (2019), 5077–5086.
  • 5 M. Arslan, E. Dündar, Rough Statistical Convergence in 2-Normed Spaces, J. Appl. Math. Inform. (in review).
  • 6 S. Aytar, Rough statistical convergence,Numer. Funct. Anal. Optim. 29(3-4): (2008), 291–303.
  • 7 S. Aytar, The rough limit set and the core of a real requence, Numer. Funct. Anal. Optim. 29(3-4): (2008), 283–290.
  • 8 S. Aytar, Rough statistical cluster points, Filomat 31(16): (2017), 5295–5304.
  • 9 H. Çakallı and S. Ersan, New types of continuity in 2-normed spaces, Filomat 30(3) (2016), 525–532.
  • 10 P. Das, S. Ghosal, A. Ghosh, Rough statistical convergence of a sequence of random variables in probability, Afrika Mat. 26(2015) 1399–1412.
  • 11 E. Dündar, C. Çakan, Rough I-convergence, Gulf J. Math. 2(1) (2014), 45–51.
  • 12 E. Dündar, C. Çakan, Rough convergence of double sequences, Demonstratio Math. 47(3) (2014), 638–651.
  • 13 E. Dündar, On Rough I2-convergence, Numer. Funct. Anal. Optim. 37(4) (2016), 480–491.
  • 14 H. Fast, Sur la convergence statistique, Colloq. Math. 2 (1951), 241–244.
  • 15 A.R. Freedman, J.J. Sember, Densities and summability, Pacific J. Math. 95 (1981) 293–305.
  • 16 J.A. Fridy, Statistical limit points, Proc. Amer. Math. Soc. 4 (1993) 1187–1192.
  • 17 J.A. Fridy, C. Orhan, Statistical limit superior and limit inferior, Proc. Amer. Math. Soc. 125(12) (1997) 3625–3631.
  • 18 S. Gähler, 2-metrische Räume und ihre topologische struktur, Math. Nachr. 26 (1963), 115–148.
  • 19 S. Gähler, 2-normed spaces, Math. Nachr. 28 (1964), 1–43.
  • 20 H. Gunawan, M. Mashadi, On n-normed spaces, Int. J. Math. Math. Sci. 27 (10) (2001), 631–639.
  • 21 H. Gunawan, M. Mashadi, On finite dimensional 2-normed spaces, Soochow J. Math. 27 (3) (2001), 321–329.
  • 22 M. Gürdal, S. Pehlivan, The statistical convergence in 2-Banach spaces, Thai J. Math. 2 (1) (2004), 107–113.
  • 23 M. Gürdal, S. Pehlivan, Statistical convergence in 2-normed spaces, Southeast Asian Bull. Math. 33 (2009), 257–264.
  • 24 M. Gürdal, I. Açık, On I-Cauchy sequences in 2-normed spaces, Math. Inequal. Appl. 11(2) (2008), 349–354.
  • 25 M. Gürdal, On ideal convergent sequences in 2-normed spaces, Thai J. Math. 4(1) (2006), 85–91.
  • 26 M.C. Listan-Garcia, F. Rambla-Barreno, Rough convergence and Chebyshev centers in Banach spaces, Numer. Funct. Anal. Optim. 35 (2014) 432–442.
  • 27 P. Malik, M. Maity, On rough statistical convergence of double sequences in normed linear spaces, Afrika Mat. 27 (2015) 141-148
  • 28 M. Mursaleen, A. Alotaibi, On I-convergence in random 2-normed spaces, Math. Slovaca 61(6) (2011), 933–940.
  • 29 H. X. Phu, Rough convergence in normed linear spaces, Numer. Funct. Anal. Optim. 22: (2001), 199–222.
  • 30 H. X. Phu, Rough continuity of linear operators, Numer. Funct. Anal. Optim. 23: (2002), 139–146.
  • 31 H. X. Phu, Rough convergence in infinite dimensional normed spaces, Numer. Funct. Anal. Optim. 24: (2003), 285–301.
  • 32 A. ¸ Sahiner, M. Gürdal, S. Saltan, H. Gunawan, Ideal convergence in 2-normed spaces, Taiwanese J. Math. 11(5) (2007), 1477–1484.
  • 33 S. Sarabadan, S. Talebi, Statistical convergence and ideal convergence of sequences of functions in 2-normed spaces, Int. J. Math. Math. Sci. 2011 (2011), 10 pages. doi:10.1155/2011/517841.
  • 34 E. Sava¸s, M. Gürdal, Ideal Convergent Function Sequences in Random 2-Normed Spaces, Filomat 30(3) (2016), 557–567.
  • 35 I.J. Schoenberg, The integrability of certain functions and related summability methods, Amer. Math. Monthly, 66 (1959), 361–375.
  • 36 A. Sharma, K. Kumar, Statistical convergence in probabilistic 2-normed spaces, Math. Sci. 2(4) (2008), 373–390.
  • 37 B.C. Tripathy, On statistically convergent and statistically bounded sequences, Bull. Malaysian Math. Soc. 20 (1998) 31–33.
  • 38 S. Yegül, E. Dündar, On Statistical Convergence of Sequences of Functions In 2-Normed Spaces, J. Classical Anal. 10(1) (2017), 49–57.
  • 39 S. Yegül, E. Dündar, Statistical Convergence of Double Sequences of Functions and Some Properties In 2-Normed Spaces, Facta Universitatis Ser. Math. Inform. 33(5) (2018), 705–719.
  • 40 S. Yegül, E. Dündar, I2-Convergence of Double Sequences of Functions In 2-Normed Spaces, Univers. J. Math. Appl. 2(3) (2019), 130–137.

Some Properties of Rough Statistical Convergence in 2-Normed Spaces

Yıl 2020, Cilt: 3 Sayı: 1, 145 - 149, 15.12.2020

Mukaddes Arslan , Erdinç Dündar

Öz

In this study, we introduce the concepts of rough statistical cluster point and rough statistical limit point of a sequence
in 2-normed space and investigate some properties of these concepts.

Anahtar Kelimeler

Rough convergence 2-normed space Rough cluster point Rough limit point Statistical convergence

Kaynakça

  • 1 M. Arslan, E. Dündar, I-Convergence and I-Cauchy Sequence of Functions In 2-Normed Spaces, Konuralp J. Math. 6(1) (2018) 57–62.
  • 2 M. Arslan, E. Dündar, On I-Convergence of sequences of functions in 2-normed spaces, Southeast Asian Bull. Math. 42 (2018), 491–502.
  • 3 M. Arslan, E. Dündar, Rough convergence in 2-normed spaces, Bull. Math. Anal. Appl. 10(3) (2018), 1–9.
  • 4 M. Arslan, E. Dündar, On Rough Convergence in 2-Normed Spaces and Some Properties, Filomat 33(16) (2019), 5077–5086.
  • 5 M. Arslan, E. Dündar, Rough Statistical Convergence in 2-Normed Spaces, J. Appl. Math. Inform. (in review).
  • 6 S. Aytar, Rough statistical convergence,Numer. Funct. Anal. Optim. 29(3-4): (2008), 291–303.
  • 7 S. Aytar, The rough limit set and the core of a real requence, Numer. Funct. Anal. Optim. 29(3-4): (2008), 283–290.
  • 8 S. Aytar, Rough statistical cluster points, Filomat 31(16): (2017), 5295–5304.
  • 9 H. Çakallı and S. Ersan, New types of continuity in 2-normed spaces, Filomat 30(3) (2016), 525–532.
  • 10 P. Das, S. Ghosal, A. Ghosh, Rough statistical convergence of a sequence of random variables in probability, Afrika Mat. 26(2015) 1399–1412.
  • 11 E. Dündar, C. Çakan, Rough I-convergence, Gulf J. Math. 2(1) (2014), 45–51.
  • 12 E. Dündar, C. Çakan, Rough convergence of double sequences, Demonstratio Math. 47(3) (2014), 638–651.
  • 13 E. Dündar, On Rough I2-convergence, Numer. Funct. Anal. Optim. 37(4) (2016), 480–491.
  • 14 H. Fast, Sur la convergence statistique, Colloq. Math. 2 (1951), 241–244.
  • 15 A.R. Freedman, J.J. Sember, Densities and summability, Pacific J. Math. 95 (1981) 293–305.
  • 16 J.A. Fridy, Statistical limit points, Proc. Amer. Math. Soc. 4 (1993) 1187–1192.
  • 17 J.A. Fridy, C. Orhan, Statistical limit superior and limit inferior, Proc. Amer. Math. Soc. 125(12) (1997) 3625–3631.
  • 18 S. Gähler, 2-metrische Räume und ihre topologische struktur, Math. Nachr. 26 (1963), 115–148.
  • 19 S. Gähler, 2-normed spaces, Math. Nachr. 28 (1964), 1–43.
  • 20 H. Gunawan, M. Mashadi, On n-normed spaces, Int. J. Math. Math. Sci. 27 (10) (2001), 631–639.
  • 21 H. Gunawan, M. Mashadi, On finite dimensional 2-normed spaces, Soochow J. Math. 27 (3) (2001), 321–329.
  • 22 M. Gürdal, S. Pehlivan, The statistical convergence in 2-Banach spaces, Thai J. Math. 2 (1) (2004), 107–113.
  • 23 M. Gürdal, S. Pehlivan, Statistical convergence in 2-normed spaces, Southeast Asian Bull. Math. 33 (2009), 257–264.
  • 24 M. Gürdal, I. Açık, On I-Cauchy sequences in 2-normed spaces, Math. Inequal. Appl. 11(2) (2008), 349–354.
  • 25 M. Gürdal, On ideal convergent sequences in 2-normed spaces, Thai J. Math. 4(1) (2006), 85–91.
  • 26 M.C. Listan-Garcia, F. Rambla-Barreno, Rough convergence and Chebyshev centers in Banach spaces, Numer. Funct. Anal. Optim. 35 (2014) 432–442.
  • 27 P. Malik, M. Maity, On rough statistical convergence of double sequences in normed linear spaces, Afrika Mat. 27 (2015) 141-148
  • 28 M. Mursaleen, A. Alotaibi, On I-convergence in random 2-normed spaces, Math. Slovaca 61(6) (2011), 933–940.
  • 29 H. X. Phu, Rough convergence in normed linear spaces, Numer. Funct. Anal. Optim. 22: (2001), 199–222.
  • 30 H. X. Phu, Rough continuity of linear operators, Numer. Funct. Anal. Optim. 23: (2002), 139–146.
  • 31 H. X. Phu, Rough convergence in infinite dimensional normed spaces, Numer. Funct. Anal. Optim. 24: (2003), 285–301.
  • 32 A. ¸ Sahiner, M. Gürdal, S. Saltan, H. Gunawan, Ideal convergence in 2-normed spaces, Taiwanese J. Math. 11(5) (2007), 1477–1484.
  • 33 S. Sarabadan, S. Talebi, Statistical convergence and ideal convergence of sequences of functions in 2-normed spaces, Int. J. Math. Math. Sci. 2011 (2011), 10 pages. doi:10.1155/2011/517841.
  • 34 E. Sava¸s, M. Gürdal, Ideal Convergent Function Sequences in Random 2-Normed Spaces, Filomat 30(3) (2016), 557–567.
  • 35 I.J. Schoenberg, The integrability of certain functions and related summability methods, Amer. Math. Monthly, 66 (1959), 361–375.
  • 36 A. Sharma, K. Kumar, Statistical convergence in probabilistic 2-normed spaces, Math. Sci. 2(4) (2008), 373–390.
  • 37 B.C. Tripathy, On statistically convergent and statistically bounded sequences, Bull. Malaysian Math. Soc. 20 (1998) 31–33.
  • 38 S. Yegül, E. Dündar, On Statistical Convergence of Sequences of Functions In 2-Normed Spaces, J. Classical Anal. 10(1) (2017), 49–57.
  • 39 S. Yegül, E. Dündar, Statistical Convergence of Double Sequences of Functions and Some Properties In 2-Normed Spaces, Facta Universitatis Ser. Math. Inform. 33(5) (2018), 705–719.
  • 40 S. Yegül, E. Dündar, I2-Convergence of Double Sequences of Functions In 2-Normed Spaces, Univers. J. Math. Appl. 2(3) (2019), 130–137.
Toplam 40 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

Mukaddes Arslan

Erdinç Dündar 0000-0002-0545-7486

Yayımlanma Tarihi 15 Aralık 2020
Kabul Tarihi 30 Eylül 2020
Yayımlandığı Sayı Yıl 2020 Cilt: 3 Sayı: 1

Kaynak Göster

APA Arslan, M., & Dündar, E. (2020). Some Properties of Rough Statistical Convergence in 2-Normed Spaces. Conference Proceedings of Science and Technology, 3(1), 145-149.
AMA Arslan M, Dündar E. Some Properties of Rough Statistical Convergence in 2-Normed Spaces. Conference Proceedings of Science and Technology. Aralık 2020;3(1):145-149.
Chicago Arslan, Mukaddes, ve Erdinç Dündar. “Some Properties of Rough Statistical Convergence in 2-Normed Spaces”. Conference Proceedings of Science and Technology 3, sy. 1 (Aralık 2020): 145-49.
EndNote Arslan M, Dündar E (01 Aralık 2020) Some Properties of Rough Statistical Convergence in 2-Normed Spaces. Conference Proceedings of Science and Technology 3 1 145–149.
IEEE M. Arslan ve E. Dündar, “Some Properties of Rough Statistical Convergence in 2-Normed Spaces”, Conference Proceedings of Science and Technology, c. 3, sy. 1, ss. 145–149, 2020.
ISNAD Arslan, Mukaddes - Dündar, Erdinç. “Some Properties of Rough Statistical Convergence in 2-Normed Spaces”. Conference Proceedings of Science and Technology 3/1 (Aralık 2020), 145-149.
JAMA Arslan M, Dündar E. Some Properties of Rough Statistical Convergence in 2-Normed Spaces. Conference Proceedings of Science and Technology. 2020;3:145–149.
MLA Arslan, Mukaddes ve Erdinç Dündar. “Some Properties of Rough Statistical Convergence in 2-Normed Spaces”. Conference Proceedings of Science and Technology, c. 3, sy. 1, 2020, ss. 145-9.
Vancouver Arslan M, Dündar E. Some Properties of Rough Statistical Convergence in 2-Normed Spaces. Conference Proceedings of Science and Technology. 2020;3(1):145-9.
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