Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2015, Cilt: 3 Sayı: 1, 44 - 52, 15.05.2015
https://doi.org/10.36753/mathenot.421208

Öz

Kaynakça

  • [1] B. Altay, F. Başar, Some new spaces of double sequences, J. Math. Anal. Appl. 309(1) (2005), 70–90.
  • [2] A. Alotaibi, B. Hazarika, and S. A. Mohiuddine, On the ideal convergence of double sequences in locally solid Riesz spaces, Abstract and Applied Analysis, Volume 2014, Article ID 396254, (2014), 6 pages.
  • [3] V. Bal´az, J. Cervenansky, P. Kostyrko, T. Salat, I-convergence and I-continuity of real functions, Acta Mathematica, Faculty of Natural Sciences, Constantine the Philosopher University, Nitra, 5 (2004), 43–50.
  • [4] M. Balcerzak, K. Dems, A. Komisarski, Statistical convergence and ideal convergence for sequences of functions, J. Math. Anal. Appl. 328 (2007), 715–729.
  • [5] C. Çakan, B. Altay, Statistically boundedness and statistical core of double sequences, J. Math. Anal. Appl. 317 (2006), 690–697.
  • [6] P. Das, P. Kostyrko, W. Wilczynski, P. Malik, I and I∗-convergence of double sequences, Math. Slovaca, 58 (2008), No. 5, 605–620.
  • [7] P. Das, P. Malik, On extremal I-limit points of double sequences, Tatra Mt. Math. Publ. 40 (2008), 91–102.
  • [8] E. Dündar, B. Altay, On some properties of I2-convergence and I2-Cauchy of double sequences, Gen. Math. Notes, 7(1) (2011), 1–12.
  • [9] E. Dündar, B. Altay, I2-convergence and I2-Cauchy of double sequences, (under communication).
  • [10] E. Dündar, B. Altay, I2-convergence of double sequences of functions, (under communication).
  • [11] H. Fast, Sur la convergenc statistique, Colloq. Math. 2 (1951), 241–244.
  • [12] J. A. Fridy, C. Orhan, Statistical limit superior and inferior, Proc. Amer. Math. Soc. 125 (1997), 3625–3631.
  • [13] J. A. Fridy, On statistical convergence, Analysis, 5 (1985), 301–313.
  • [14] J. A. Fridy, Statistical limit points, Proc. Amer. Math. Soc, 118 (1993), 1187–1192. [15] F. Gezer, S. Karakuş, I and I∗-convergent function sequences, Math. Commun. 10 (2005),71–80.
  • [16] A. Gökhan, M. Güngör, M. Et, Statistical convergence of double sequences of real-valued functions, Int. Math. Forum, 2(8) (2007), 365–374.
  • [17] M. Gürdal, A. Şahiner, Extremal I2-limit points of double sequences, Appl. Math. E-Notes, 2 (2008), 131-137.
  • [18] P. Kostyrko, T. Salat, W. Wilczyski, I-convergence, Real Anal. Exchange, 26(2) (2000), 669–686.
  • [19] P. Kostyrko, M. Macaj, T. Salat, M. Sleziak, I-convergence and extremal I-limit points, Math. Slovaca, 55 (2005), 443–464.
  • [20] V. Kumar, On I and I∗-convergence of double sequences, Math. Commun. 12 (2007), 171–181. [21] Mursaleen, O. H. H. Edely, Statistical convergence of double sequences, J. Math. Anal. Appl. 288 (2003), 223–231.
  • [22] M. Mursaleen and S. A. Mohiuddine, On ideal convergence of double sequences in probabilistic normed spaces, Math. Reports, 12(62)(4) (2010), 359–371.
  • [23] M. Mursaleen, S. A. Mohiuddine, and O. H. H. Edely, On the ideal convergence of double sequences in intuitionistic fuzzy normed spaces, Comput. Math. Appl. 59(2) (2010), 603–611.
  • [24] S. A. Mohiuddine, A. Alotaibi, and S. M. Alsulami, Ideal convergence of double sequences in random 2-normed spaces, Adv. Difference Equ. vol. 2012, article 149, (2012), 8 pages.
  • [25] A. Nabiev, S. Pehlivan, M. G¨urdal, On I-Cauchy sequence, Taiwanese J. Math. 11(2) (2007), 569–576.
  • [26] F. Nuray, W. H. Ruckle, Generalized statistical convergence and convergence free spaces, J. Math. Anal. Appl. 245 (2000), 513–527.
  • [27] A. Pringsheim, Zur theorie der zweifach unendlichen Zahlenfolgen, Math. Ann. 53 (1900), 289–321.
  • [28] D. Rath, B. C. Tripaty, On statistically convergence and statistically Cauchy sequences, Indian J. Pure Appl. Math. 25(4) (1994), 381–386.
  • [29] T. Salat, On statistically convergent sequences of real numbers, Math. Slovaca, 30 (1980), 139–150.
  • [30] I. J. Schoenberg, The integrability of certain functions and related summability methods, Amer. Math. Monthly 66 (1959), 361–375.
  • [31] B. Tripathy, B. C. Tripathy, On I-convergent double sequences, Soochow J. Math. 31 (2005), 549–560.

ON SOME RESULTS OF I_2-CONVERGENCE OF DOUBLE SEQUENCES OF FUNCTIONS

Yıl 2015, Cilt: 3 Sayı: 1, 44 - 52, 15.05.2015
https://doi.org/10.36753/mathenot.421208

Öz

In this work, we investigate some results of I2-convergence of double
sequences of real valued functions and prove a decomposition theorem.

Kaynakça

  • [1] B. Altay, F. Başar, Some new spaces of double sequences, J. Math. Anal. Appl. 309(1) (2005), 70–90.
  • [2] A. Alotaibi, B. Hazarika, and S. A. Mohiuddine, On the ideal convergence of double sequences in locally solid Riesz spaces, Abstract and Applied Analysis, Volume 2014, Article ID 396254, (2014), 6 pages.
  • [3] V. Bal´az, J. Cervenansky, P. Kostyrko, T. Salat, I-convergence and I-continuity of real functions, Acta Mathematica, Faculty of Natural Sciences, Constantine the Philosopher University, Nitra, 5 (2004), 43–50.
  • [4] M. Balcerzak, K. Dems, A. Komisarski, Statistical convergence and ideal convergence for sequences of functions, J. Math. Anal. Appl. 328 (2007), 715–729.
  • [5] C. Çakan, B. Altay, Statistically boundedness and statistical core of double sequences, J. Math. Anal. Appl. 317 (2006), 690–697.
  • [6] P. Das, P. Kostyrko, W. Wilczynski, P. Malik, I and I∗-convergence of double sequences, Math. Slovaca, 58 (2008), No. 5, 605–620.
  • [7] P. Das, P. Malik, On extremal I-limit points of double sequences, Tatra Mt. Math. Publ. 40 (2008), 91–102.
  • [8] E. Dündar, B. Altay, On some properties of I2-convergence and I2-Cauchy of double sequences, Gen. Math. Notes, 7(1) (2011), 1–12.
  • [9] E. Dündar, B. Altay, I2-convergence and I2-Cauchy of double sequences, (under communication).
  • [10] E. Dündar, B. Altay, I2-convergence of double sequences of functions, (under communication).
  • [11] H. Fast, Sur la convergenc statistique, Colloq. Math. 2 (1951), 241–244.
  • [12] J. A. Fridy, C. Orhan, Statistical limit superior and inferior, Proc. Amer. Math. Soc. 125 (1997), 3625–3631.
  • [13] J. A. Fridy, On statistical convergence, Analysis, 5 (1985), 301–313.
  • [14] J. A. Fridy, Statistical limit points, Proc. Amer. Math. Soc, 118 (1993), 1187–1192. [15] F. Gezer, S. Karakuş, I and I∗-convergent function sequences, Math. Commun. 10 (2005),71–80.
  • [16] A. Gökhan, M. Güngör, M. Et, Statistical convergence of double sequences of real-valued functions, Int. Math. Forum, 2(8) (2007), 365–374.
  • [17] M. Gürdal, A. Şahiner, Extremal I2-limit points of double sequences, Appl. Math. E-Notes, 2 (2008), 131-137.
  • [18] P. Kostyrko, T. Salat, W. Wilczyski, I-convergence, Real Anal. Exchange, 26(2) (2000), 669–686.
  • [19] P. Kostyrko, M. Macaj, T. Salat, M. Sleziak, I-convergence and extremal I-limit points, Math. Slovaca, 55 (2005), 443–464.
  • [20] V. Kumar, On I and I∗-convergence of double sequences, Math. Commun. 12 (2007), 171–181. [21] Mursaleen, O. H. H. Edely, Statistical convergence of double sequences, J. Math. Anal. Appl. 288 (2003), 223–231.
  • [22] M. Mursaleen and S. A. Mohiuddine, On ideal convergence of double sequences in probabilistic normed spaces, Math. Reports, 12(62)(4) (2010), 359–371.
  • [23] M. Mursaleen, S. A. Mohiuddine, and O. H. H. Edely, On the ideal convergence of double sequences in intuitionistic fuzzy normed spaces, Comput. Math. Appl. 59(2) (2010), 603–611.
  • [24] S. A. Mohiuddine, A. Alotaibi, and S. M. Alsulami, Ideal convergence of double sequences in random 2-normed spaces, Adv. Difference Equ. vol. 2012, article 149, (2012), 8 pages.
  • [25] A. Nabiev, S. Pehlivan, M. G¨urdal, On I-Cauchy sequence, Taiwanese J. Math. 11(2) (2007), 569–576.
  • [26] F. Nuray, W. H. Ruckle, Generalized statistical convergence and convergence free spaces, J. Math. Anal. Appl. 245 (2000), 513–527.
  • [27] A. Pringsheim, Zur theorie der zweifach unendlichen Zahlenfolgen, Math. Ann. 53 (1900), 289–321.
  • [28] D. Rath, B. C. Tripaty, On statistically convergence and statistically Cauchy sequences, Indian J. Pure Appl. Math. 25(4) (1994), 381–386.
  • [29] T. Salat, On statistically convergent sequences of real numbers, Math. Slovaca, 30 (1980), 139–150.
  • [30] I. J. Schoenberg, The integrability of certain functions and related summability methods, Amer. Math. Monthly 66 (1959), 361–375.
  • [31] B. Tripathy, B. C. Tripathy, On I-convergent double sequences, Soochow J. Math. 31 (2005), 549–560.
Toplam 29 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

Erdinç Dündar Bu kişi benim

Yayımlanma Tarihi 15 Mayıs 2015
Gönderilme Tarihi 20 Temmuz 2014
Yayımlandığı Sayı Yıl 2015 Cilt: 3 Sayı: 1

Kaynak Göster

APA Dündar, E. (2015). ON SOME RESULTS OF I_2-CONVERGENCE OF DOUBLE SEQUENCES OF FUNCTIONS. Mathematical Sciences and Applications E-Notes, 3(1), 44-52. https://doi.org/10.36753/mathenot.421208
AMA Dündar E. ON SOME RESULTS OF I_2-CONVERGENCE OF DOUBLE SEQUENCES OF FUNCTIONS. Math. Sci. Appl. E-Notes. Mayıs 2015;3(1):44-52. doi:10.36753/mathenot.421208
Chicago Dündar, Erdinç. “ON SOME RESULTS OF I_2-CONVERGENCE OF DOUBLE SEQUENCES OF FUNCTIONS”. Mathematical Sciences and Applications E-Notes 3, sy. 1 (Mayıs 2015): 44-52. https://doi.org/10.36753/mathenot.421208.
EndNote Dündar E (01 Mayıs 2015) ON SOME RESULTS OF I_2-CONVERGENCE OF DOUBLE SEQUENCES OF FUNCTIONS. Mathematical Sciences and Applications E-Notes 3 1 44–52.
IEEE E. Dündar, “ON SOME RESULTS OF I_2-CONVERGENCE OF DOUBLE SEQUENCES OF FUNCTIONS”, Math. Sci. Appl. E-Notes, c. 3, sy. 1, ss. 44–52, 2015, doi: 10.36753/mathenot.421208.
ISNAD Dündar, Erdinç. “ON SOME RESULTS OF I_2-CONVERGENCE OF DOUBLE SEQUENCES OF FUNCTIONS”. Mathematical Sciences and Applications E-Notes 3/1 (Mayıs 2015), 44-52. https://doi.org/10.36753/mathenot.421208.
JAMA Dündar E. ON SOME RESULTS OF I_2-CONVERGENCE OF DOUBLE SEQUENCES OF FUNCTIONS. Math. Sci. Appl. E-Notes. 2015;3:44–52.
MLA Dündar, Erdinç. “ON SOME RESULTS OF I_2-CONVERGENCE OF DOUBLE SEQUENCES OF FUNCTIONS”. Mathematical Sciences and Applications E-Notes, c. 3, sy. 1, 2015, ss. 44-52, doi:10.36753/mathenot.421208.
Vancouver Dündar E. ON SOME RESULTS OF I_2-CONVERGENCE OF DOUBLE SEQUENCES OF FUNCTIONS. Math. Sci. Appl. E-Notes. 2015;3(1):44-52.

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