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Year 2017, Volume: 5 Issue: 1, 190 - 195, 01.01.2017

Rohini Jamwal Shivani Sharma Dalip Singh Jamwal

Abstract

References

  • V. Bala'z ̆, J. C ̆erven'ansky', P. Kostyrko, T. S ̆ala't, I-convergence and I-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, I-convergence of filters, New Trends in Mathematical Sciences, 2016,(accepted).
  • P. Kostyrko, T.S ̆ala't, W. Wilczynski, I-convergence, Real Analysis, Exch. 26 (2) (2000/2001), 669-685.
  • P. Kostyrko, M. Mac ̆aj, T.S ̆ala't, M. Sleziak, I-convergence and extremal I-limit points, Math. Slovaca, 55 (4) (2005), 443-464.
  • B. K. Lahiri, P. Das, Further results on I-limit superior and I-limit inferior, Math. Commun., 8 (2003), 151-156.
  • B. K. Lahiri, P. Das, I and I^*-convergence in topological spaces, Math. Bohemica, 130 (2) (2005), 153-160.
  • B. K. Lahiri, P. Das, I and I^*-convergence of nets, Real Analysis Exchange, 33 (2) (2007/2008), 431-442.
  • M. Mac ̆aj, T.S ̆ala't, 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.S ̆ala't, On statistically convergent sequences of real numbers, Mathematical Slovaca, 30 (1980), No. 2, 139-150.
  • T.S ̆ala't, B. C. Tripathy, M. Ziman, On I-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.

Some more results on i-convergence of filters

Year 2017, Volume: 5 Issue: 1, 190 - 195, 01.01.2017

Rohini Jamwal Shivani Sharma Dalip Singh Jamwal

Abstract


Keywords

I-convergence of filters equivalence of I-convergence

References

  • V. Bala'z ̆, J. C ̆erven'ansky', P. Kostyrko, T. S ̆ala't, I-convergence and I-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, I-convergence of filters, New Trends in Mathematical Sciences, 2016,(accepted).
  • P. Kostyrko, T.S ̆ala't, W. Wilczynski, I-convergence, Real Analysis, Exch. 26 (2) (2000/2001), 669-685.
  • P. Kostyrko, M. Mac ̆aj, T.S ̆ala't, M. Sleziak, I-convergence and extremal I-limit points, Math. Slovaca, 55 (4) (2005), 443-464.
  • B. K. Lahiri, P. Das, Further results on I-limit superior and I-limit inferior, Math. Commun., 8 (2003), 151-156.
  • B. K. Lahiri, P. Das, I and I^*-convergence in topological spaces, Math. Bohemica, 130 (2) (2005), 153-160.
  • B. K. Lahiri, P. Das, I and I^*-convergence of nets, Real Analysis Exchange, 33 (2) (2007/2008), 431-442.
  • M. Mac ̆aj, T.S ̆ala't, 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.S ̆ala't, On statistically convergent sequences of real numbers, Mathematical Slovaca, 30 (1980), No. 2, 139-150.
  • T.S ̆ala't, B. C. Tripathy, M. Ziman, On I-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.
There are 22 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Rohini Jamwal This is me

Shivani Sharma This is me

Dalip Singh Jamwal This is me

Publication Date January 1, 2017
Published in Issue Year 2017 Volume: 5 Issue: 1

Cite

APA Jamwal, R., Sharma, S., & Jamwal, D. S. (2017). Some more results on i-convergence of filters. New Trends in Mathematical Sciences, 5(1), 190-195.
AMA Jamwal R, Sharma S, Jamwal DS. Some more results on i-convergence of filters. New Trends in Mathematical Sciences. January 2017;5(1):190-195.
Chicago Jamwal, Rohini, Shivani Sharma, and Dalip Singh Jamwal. “Some More Results on I-Convergence of Filters”. New Trends in Mathematical Sciences 5, no. 1 (January 2017): 190-95.
EndNote Jamwal R, Sharma S, Jamwal DS (January 1, 2017) Some more results on i-convergence of filters. New Trends in Mathematical Sciences 5 1 190–195.
IEEE R. Jamwal, S. Sharma, and D. S. Jamwal, “Some more results on i-convergence of filters”, New Trends in Mathematical Sciences, vol. 5, no. 1, pp. 190–195, 2017.
ISNAD Jamwal, Rohini et al. “Some More Results on I-Convergence of Filters”. New Trends in Mathematical Sciences 5/1 (January 2017), 190-195.
JAMA Jamwal R, Sharma S, Jamwal DS. Some more results on i-convergence of filters. New Trends in Mathematical Sciences. 2017;5:190–195.
MLA Jamwal, Rohini et al. “Some More Results on I-Convergence of Filters”. New Trends in Mathematical Sciences, vol. 5, no. 1, 2017, pp. 190-5.
Vancouver Jamwal R, Sharma S, Jamwal DS. Some more results on i-convergence of filters. New Trends in Mathematical Sciences. 2017;5(1):190-5.
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