Research Article

I-convergence of filters

Volume: 4 Number: 4 December 31, 2016
  • Dalip Singh Jamwal *
  • Rohini Jamwal
  • Shivani Sharma
EN

I-convergence of filters

Abstract

In this paper, we have introduced the idea of I-convergence of filters and studied its various properties. We have proved the necessary and sufficient condition for a filter to be I-convergent.

Keywords

References

  1. 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.
  2. N. Bourbaki, General Topology, Part (I) (transl.), Addison- Wesley, Reading (1966).
  3. K. Demirci, I-limit superior and limit inferior, Math. Commun. 6 (2001), 165-172.
  4. H. Fast, sur la convergence statistique, colloq. Math. 2 (1951), 241-244.
  5. H. Halberstem, K. F. Roth, Sequences, Springer, New York, 1993.
  6. P. Kostyrko, T.S ̆ala't, W. Wilczynski, I-convergence, Real Analysis, Exch. 26 (2) (2000/2001), 669-685.
  7. 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.
  8. B. K. Lahiri, P. Das, Further results on I-limit superior and I-limit inferior, Math. Commun., 8 (2003), 151-156.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Dalip Singh Jamwal * This is me
India

Rohini Jamwal This is me
India

Shivani Sharma This is me
India

Publication Date

December 31, 2016

Submission Date

May 30, 2016

Acceptance Date

November 4, 2016

Published in Issue

Year 2016 Volume: 4 Number: 4

APA
Jamwal, D. S., Jamwal, R., & Sharma, S. (2016). I-convergence of filters. New Trends in Mathematical Sciences, 4(4), 322-328. https://izlik.org/JA64ZN85HZ
AMA
1.Jamwal DS, Jamwal R, Sharma S. I-convergence of filters. New Trends in Mathematical Sciences. 2016;4(4):322-328. https://izlik.org/JA64ZN85HZ
Chicago
Jamwal, Dalip Singh, Rohini Jamwal, and Shivani Sharma. 2016. “I-Convergence of Filters”. New Trends in Mathematical Sciences 4 (4): 322-28. https://izlik.org/JA64ZN85HZ.
EndNote
Jamwal DS, Jamwal R, Sharma S (December 1, 2016) I-convergence of filters. New Trends in Mathematical Sciences 4 4 322–328.
IEEE
[1]D. S. Jamwal, R. Jamwal, and S. Sharma, “I-convergence of filters”, New Trends in Mathematical Sciences, vol. 4, no. 4, pp. 322–328, Dec. 2016, [Online]. Available: https://izlik.org/JA64ZN85HZ
ISNAD
Jamwal, Dalip Singh - Jamwal, Rohini - Sharma, Shivani. “I-Convergence of Filters”. New Trends in Mathematical Sciences 4/4 (December 1, 2016): 322-328. https://izlik.org/JA64ZN85HZ.
JAMA
1.Jamwal DS, Jamwal R, Sharma S. I-convergence of filters. New Trends in Mathematical Sciences. 2016;4:322–328.
MLA
Jamwal, Dalip Singh, et al. “I-Convergence of Filters”. New Trends in Mathematical Sciences, vol. 4, no. 4, Dec. 2016, pp. 322-8, https://izlik.org/JA64ZN85HZ.
Vancouver
1.Dalip Singh Jamwal, Rohini Jamwal, Shivani Sharma. I-convergence of filters. New Trends in Mathematical Sciences [Internet]. 2016 Dec. 1;4(4):322-8. Available from: https://izlik.org/JA64ZN85HZ