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More on cluster points of filters

Yıl 2017, Cilt: 5 Sayı: 4, 203 - 208, 01.10.2017

Öz

This paper is an extension of our paper cluster points of filters [8]. In this paper, we have discussed the relationship between cluster points of filters and cluster points of nets and estabilished their equivalence. We have also estabilished the equivalence of cluster points of filters and nets.

Kaynakça

  • V. Bal J. erveansk P. Kostyrko, T. alt, convergence and continuity of real functions, Faculty of Natural Sciences, Constantine the Philosoper University, Nitra, Acta Mathematical 5, 43-50, 2002.
  • N. Bourbaki, General Topology, Part (I) (transl.), Addison- Wesley, Reading (1966).
  • K. Demirci, I-limit superior and limit inferior, Math. Commun. 6 (2001), 165-172.
  • H. Fast, sur la convergence statistique, colloq. Math. 2 (1951), 241-244.
  • H. Halberstem, K. F. Roth, Sequences, Springer, New York, 1993.
  • D. S. Jamwal, R. Jamwal, S. Sharma, Convergence of filters, New Trends in Mathematical Sciences, 4, No. 4, (2016), 322-328.
  • R. Jamwal, S. Sharma and D. S. Jamwal, Some more results on Convergence of filters,New Trends in Mathematical Sciences, 5, No. 1, (2017), 190-195.
  • R. Jamwal, S. Sharma, D. S. Jamwal, Cluster point of filters, Communicated, 2017.
  • P. Kostyrko, T.alt, W. Wilczynski, convergence, Real Analysis, Exch. 26 (2) (2000/2001), 669-685.
  • P. Kostyrko, M. Maaj, T.alt, M. Sleziak, convergence and extremal limit points, Math. Slovaca, 55 (4) (2005), 443-464.
  • B. K. Lahiri, P. Das, Further results on limit superior and limit inferior, Math. Commun., 8 (2003), 151-156.
  • B. K. Lahiri, P. Das, and convergence in topological spaces, Math. Bohemica, 130 (2) (2005), 153-160.
  • B. K. Lahiri, P. Das, and convergence of nets, Real Analysis Exchange, 33 (2) (2007/2008), 431-442.
  • M. Maaj, T.alt, Statistical convergence of subsequences of a given sequence, Math. Bohemica, 126 (2001), 191-208.
  • M. Mursaleen and A. Alotaibi, On I–convergence in random 2–normed spaces, Math. Slovaca, 61(6) (2011) 933–940.
  • M. Mursaleen and S. A. Mohiuddine, On ideal convergence of double sequences in probabilistic normed spaces, Math. Reports, 12(62)(4) (2010) 359-371.
  • M. Mursaleen and S. A. Mohiuddine, On ideal convergence in probabilistic normed spaces, Math. Slovaca, 62(1) (2012) 49-62.
  • 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 (2010) 603-611.
  • I. Niven, H. S. Zuckerman, An introduction to the theory of numbers, 4th Ed., John Wiley, New York, 1980.
  • T.alt, On statistically convergent sequences of real numbers, Mathematical Slovaca, 30 (1980), No. 2, 139-150.
  • T.alt, B. C. Tripathy, M. Ziman, On convergence field, Italian J. of Pure Appl. Math. 17 (2005), 45-54.
  • A.Sahiner, M. Gürdal, S. Saltan and H. Gunawan, Ideal convergence in 2-normed spaces, Taiwanese J. Math., 11(5) (2007), 1477-1484.
  • I. J. Schoenberg, The integrability of certain function and related summability methods, Am. Math. Mon. 66 (1959), 361-375.
  • S. Willard, General Topology, Addison-Wesley Pub. Co. 1970.
Yıl 2017, Cilt: 5 Sayı: 4, 203 - 208, 01.10.2017

Öz

Kaynakça

  • V. Bal J. erveansk P. Kostyrko, T. alt, convergence and continuity of real functions, Faculty of Natural Sciences, Constantine the Philosoper University, Nitra, Acta Mathematical 5, 43-50, 2002.
  • N. Bourbaki, General Topology, Part (I) (transl.), Addison- Wesley, Reading (1966).
  • K. Demirci, I-limit superior and limit inferior, Math. Commun. 6 (2001), 165-172.
  • H. Fast, sur la convergence statistique, colloq. Math. 2 (1951), 241-244.
  • H. Halberstem, K. F. Roth, Sequences, Springer, New York, 1993.
  • D. S. Jamwal, R. Jamwal, S. Sharma, Convergence of filters, New Trends in Mathematical Sciences, 4, No. 4, (2016), 322-328.
  • R. Jamwal, S. Sharma and D. S. Jamwal, Some more results on Convergence of filters,New Trends in Mathematical Sciences, 5, No. 1, (2017), 190-195.
  • R. Jamwal, S. Sharma, D. S. Jamwal, Cluster point of filters, Communicated, 2017.
  • P. Kostyrko, T.alt, W. Wilczynski, convergence, Real Analysis, Exch. 26 (2) (2000/2001), 669-685.
  • P. Kostyrko, M. Maaj, T.alt, M. Sleziak, convergence and extremal limit points, Math. Slovaca, 55 (4) (2005), 443-464.
  • B. K. Lahiri, P. Das, Further results on limit superior and limit inferior, Math. Commun., 8 (2003), 151-156.
  • B. K. Lahiri, P. Das, and convergence in topological spaces, Math. Bohemica, 130 (2) (2005), 153-160.
  • B. K. Lahiri, P. Das, and convergence of nets, Real Analysis Exchange, 33 (2) (2007/2008), 431-442.
  • M. Maaj, T.alt, Statistical convergence of subsequences of a given sequence, Math. Bohemica, 126 (2001), 191-208.
  • M. Mursaleen and A. Alotaibi, On I–convergence in random 2–normed spaces, Math. Slovaca, 61(6) (2011) 933–940.
  • M. Mursaleen and S. A. Mohiuddine, On ideal convergence of double sequences in probabilistic normed spaces, Math. Reports, 12(62)(4) (2010) 359-371.
  • M. Mursaleen and S. A. Mohiuddine, On ideal convergence in probabilistic normed spaces, Math. Slovaca, 62(1) (2012) 49-62.
  • 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 (2010) 603-611.
  • I. Niven, H. S. Zuckerman, An introduction to the theory of numbers, 4th Ed., John Wiley, New York, 1980.
  • T.alt, On statistically convergent sequences of real numbers, Mathematical Slovaca, 30 (1980), No. 2, 139-150.
  • T.alt, B. C. Tripathy, M. Ziman, On convergence field, Italian J. of Pure Appl. Math. 17 (2005), 45-54.
  • A.Sahiner, M. Gürdal, S. Saltan and H. Gunawan, Ideal convergence in 2-normed spaces, Taiwanese J. Math., 11(5) (2007), 1477-1484.
  • I. J. Schoenberg, The integrability of certain function and related summability methods, Am. Math. Mon. 66 (1959), 361-375.
  • S. Willard, General Topology, Addison-Wesley Pub. Co. 1970.
Toplam 24 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

Rohini Jamwal Bu kişi benim

Renu Renu Bu kişi benim

Dalip Singh Jamwal Bu kişi benim

Yayımlanma Tarihi 1 Ekim 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 5 Sayı: 4

Kaynak Göster

APA Jamwal, R., Renu, R., & Jamwal, D. S. (2017). More on cluster points of filters. New Trends in Mathematical Sciences, 5(4), 203-208.
AMA Jamwal R, Renu R, Jamwal DS. More on cluster points of filters. New Trends in Mathematical Sciences. Ekim 2017;5(4):203-208.
Chicago Jamwal, Rohini, Renu Renu, ve Dalip Singh Jamwal. “More on Cluster Points of Filters”. New Trends in Mathematical Sciences 5, sy. 4 (Ekim 2017): 203-8.
EndNote Jamwal R, Renu R, Jamwal DS (01 Ekim 2017) More on cluster points of filters. New Trends in Mathematical Sciences 5 4 203–208.
IEEE R. Jamwal, R. Renu, ve D. S. Jamwal, “More on cluster points of filters”, New Trends in Mathematical Sciences, c. 5, sy. 4, ss. 203–208, 2017.
ISNAD Jamwal, Rohini vd. “More on Cluster Points of Filters”. New Trends in Mathematical Sciences 5/4 (Ekim 2017), 203-208.
JAMA Jamwal R, Renu R, Jamwal DS. More on cluster points of filters. New Trends in Mathematical Sciences. 2017;5:203–208.
MLA Jamwal, Rohini vd. “More on Cluster Points of Filters”. New Trends in Mathematical Sciences, c. 5, sy. 4, 2017, ss. 203-8.
Vancouver Jamwal R, Renu R, Jamwal DS. More on cluster points of filters. New Trends in Mathematical Sciences. 2017;5(4):203-8.