Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2022, Cilt: 10 Sayı: 2, 93 - 101, 01.06.2022
https://doi.org/10.36753/mathenot.692053

Öz

Kaynakça

  • [1] Chiao, K.-P.: Fundamental properties of interval vector max-norm. Tamsui Oxf. J. Math. Sci. 18 (2), 219-233 (2002).
  • [2] Dwyer, P. S.: Linear Computations. Wiley, New York (1951).
  • [3] Dwyer, P. S.: Errors of matrix computation, simultaneous equations and eigenvalues, National Bureu of Standarts. Applied Mathematics Series. 29, 49-58 (1953).
  • [4] Fast, H.: Sur la convergence statistique. Colloq. Math. 2, 241-244 (1951).
  • [5] Fridy, J. A.: On statistical convergence. Analysis (Munich). 5 (4), 301-314 (1985).
  • [6] Gürdal, M., Huban, M. B.: On I-convergence of double sequences in the Topology induced by random 2-norms. Matematicki Vesnik. 66 (1), 73-83 (2014).
  • [7] Gürdal, M., S ̧ahiner, A.: Extremal I-limit points of double sequences. Appl. Math. E-Notes. 8, 131-137 (2008).
  • [8] Markov,S.M.:Extendedintervalarithmeticinvolvinginfiniteintervals.Math.Balkanica,NewSeries.6(3),269-304 (1992).
  • [9] Markov, S.: On directed interval arithmetic and its applications. J.UCS. 1 (7), 514-526 (1995).
  • [10] Markov,S.:Quasilinearspacesandtheirrelationtovectorspaces.ElectronicJournalonMathematicsofComputation. 2 (1), 1-21 (2005).
  • [11] Moore,R.E.:Automaticerroranalysisindigitalcomputation.LockheedMissilesandSpaceCompany,Technical Report LMSD-448421. California (1959).
  • [12] Moore, R. E., Yang, C. T.: Interval analysis I. Lockheed Missiles and Space Division, Technical Report LMSD- 288139. California (1960).
  • [13] Schoenberg, I. J.: The integrability of certain functions and related summability methods. Amer. Math. Monthly. 66 (5), 361-375 (1959).
  • [14] Sunaga, T.: Theory of an interval algebra and its application to numerical analysis. In: Research Association of Applied Geometry Memoirs II (pp. 29-46). Gakujutsu Bunken Fukyu-kai, Tokyo (1958).
  • [15] S ̧engönül, M., Eryilmaz, A.: On the sequence spaces of interval numbers. Thai J. Math. 8 (3), 503-510 (2010).

Some Properties of Two Dimensional Interval Numbers

Yıl 2022, Cilt: 10 Sayı: 2, 93 - 101, 01.06.2022
https://doi.org/10.36753/mathenot.692053

Öz

In this paper, we will introduce the notion of convergence of two dimensional interval sequences and show that the set of all two dimensional interval numbers is a metric space. Also, some ordinary vector norms will be extended to the set of two dimensional interval vectors. Furthermore, we will give definitions of statistical convergence, statistically Cauchy and Cesaro summability for the two dimensional interval numbers and we will get the relationships between them.

Kaynakça

  • [1] Chiao, K.-P.: Fundamental properties of interval vector max-norm. Tamsui Oxf. J. Math. Sci. 18 (2), 219-233 (2002).
  • [2] Dwyer, P. S.: Linear Computations. Wiley, New York (1951).
  • [3] Dwyer, P. S.: Errors of matrix computation, simultaneous equations and eigenvalues, National Bureu of Standarts. Applied Mathematics Series. 29, 49-58 (1953).
  • [4] Fast, H.: Sur la convergence statistique. Colloq. Math. 2, 241-244 (1951).
  • [5] Fridy, J. A.: On statistical convergence. Analysis (Munich). 5 (4), 301-314 (1985).
  • [6] Gürdal, M., Huban, M. B.: On I-convergence of double sequences in the Topology induced by random 2-norms. Matematicki Vesnik. 66 (1), 73-83 (2014).
  • [7] Gürdal, M., S ̧ahiner, A.: Extremal I-limit points of double sequences. Appl. Math. E-Notes. 8, 131-137 (2008).
  • [8] Markov,S.M.:Extendedintervalarithmeticinvolvinginfiniteintervals.Math.Balkanica,NewSeries.6(3),269-304 (1992).
  • [9] Markov, S.: On directed interval arithmetic and its applications. J.UCS. 1 (7), 514-526 (1995).
  • [10] Markov,S.:Quasilinearspacesandtheirrelationtovectorspaces.ElectronicJournalonMathematicsofComputation. 2 (1), 1-21 (2005).
  • [11] Moore,R.E.:Automaticerroranalysisindigitalcomputation.LockheedMissilesandSpaceCompany,Technical Report LMSD-448421. California (1959).
  • [12] Moore, R. E., Yang, C. T.: Interval analysis I. Lockheed Missiles and Space Division, Technical Report LMSD- 288139. California (1960).
  • [13] Schoenberg, I. J.: The integrability of certain functions and related summability methods. Amer. Math. Monthly. 66 (5), 361-375 (1959).
  • [14] Sunaga, T.: Theory of an interval algebra and its application to numerical analysis. In: Research Association of Applied Geometry Memoirs II (pp. 29-46). Gakujutsu Bunken Fukyu-kai, Tokyo (1958).
  • [15] S ̧engönül, M., Eryilmaz, A.: On the sequence spaces of interval numbers. Thai J. Math. 8 (3), 503-510 (2010).
Toplam 15 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

Fatih Nuray 0000-0003-0160-4001

Uğur Ulusu 0000-0001-7658-6114

Erdinç Dundar 0000-0002-0545-7486

Yayımlanma Tarihi 1 Haziran 2022
Gönderilme Tarihi 20 Şubat 2020
Kabul Tarihi 14 Ocak 2021
Yayımlandığı Sayı Yıl 2022 Cilt: 10 Sayı: 2

Kaynak Göster

APA Nuray, F., Ulusu, U., & Dundar, E. (2022). Some Properties of Two Dimensional Interval Numbers. Mathematical Sciences and Applications E-Notes, 10(2), 93-101. https://doi.org/10.36753/mathenot.692053
AMA Nuray F, Ulusu U, Dundar E. Some Properties of Two Dimensional Interval Numbers. Math. Sci. Appl. E-Notes. Haziran 2022;10(2):93-101. doi:10.36753/mathenot.692053
Chicago Nuray, Fatih, Uğur Ulusu, ve Erdinç Dundar. “Some Properties of Two Dimensional Interval Numbers”. Mathematical Sciences and Applications E-Notes 10, sy. 2 (Haziran 2022): 93-101. https://doi.org/10.36753/mathenot.692053.
EndNote Nuray F, Ulusu U, Dundar E (01 Haziran 2022) Some Properties of Two Dimensional Interval Numbers. Mathematical Sciences and Applications E-Notes 10 2 93–101.
IEEE F. Nuray, U. Ulusu, ve E. Dundar, “Some Properties of Two Dimensional Interval Numbers”, Math. Sci. Appl. E-Notes, c. 10, sy. 2, ss. 93–101, 2022, doi: 10.36753/mathenot.692053.
ISNAD Nuray, Fatih vd. “Some Properties of Two Dimensional Interval Numbers”. Mathematical Sciences and Applications E-Notes 10/2 (Haziran 2022), 93-101. https://doi.org/10.36753/mathenot.692053.
JAMA Nuray F, Ulusu U, Dundar E. Some Properties of Two Dimensional Interval Numbers. Math. Sci. Appl. E-Notes. 2022;10:93–101.
MLA Nuray, Fatih vd. “Some Properties of Two Dimensional Interval Numbers”. Mathematical Sciences and Applications E-Notes, c. 10, sy. 2, 2022, ss. 93-101, doi:10.36753/mathenot.692053.
Vancouver Nuray F, Ulusu U, Dundar E. Some Properties of Two Dimensional Interval Numbers. Math. Sci. Appl. E-Notes. 2022;10(2):93-101.

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