Year 2013,
Volume: 42 Issue: 6
,
633
-
640
,
01.06.2013
Abstract
In this paper we extend the notion of rough convergence using theconcept of ideals which automatically extends the earlier notions ofrough convergence and rough statistical convergence. We define the setof rough ideal limit points and prove several results associated with thisset.
References
- Aytar, S. The Rough Limit Set and the Core of a Real Sequence, Numer. Funct. Anal. Optimiz. 29, No. 3, 283–290, 2008.
- Aytar, S. Rough Statistical Convergence, Numer. Funct. Anal. Optimiz. 29, No. 3, 291–303, 200 Cooke, R. G. Infinite Matrices and Sequence Spaces, (Dover Publ. Inc., New York, 1955).
- Das, P. and Ghosal, S. K. Some further results on I-Cauchy sequences and condition(AP), Comp. Math. Appl. 59, 2597–2600, 2010.
- Das, P., Pal, S. K. and Ghosal, S. K. Some further remarks on ideal summability in 2-normed spaces, Appl. Math. Lett. 24, 39–43, 2011.
- Das, P., Savas, E. and Ghosal, S. K. On generalizations of certain summability methods using ideals, Appl. Math. Lett. 24, 1509–1514, 2011.
- Demirci, K. I-limit superior and limit inferior, Math. Commun. 6, No.-2, 165–172, 2001.
- Fast, H. Sur la convergence statistique, Colloq. Math. 2, 241–244, 1951.
- Fridy, J. A. On Statistical Convergence, Analysis 5, 301–313, 1985.
- Knopp, K. Zur theorie der limitierungsverfahern (Erste Mitteilung), Math. Z. 31, 97–127, 19 Kostyrko, P., ˇ Sal´ at, T. and Wilczy´ nski, W. I-Convergence, Real. Anal. Exchange 26, No. 2, 669–685, 2000/2001.
- Kostyrko, P., M´ aˇ caz, M., ˇ Sal´ at, T. and Sleziak, M. I-Convergence and Extremal I-limit points, Math. Slovaca 55, No. 4, 443–454, 2005.
- Lahiri, B. K. and Das, P. Further results on I-limit superior and I-limit inferior, Math. Commun. 8, 151–156, 2003.
- Lahiri, B. K. and Das, P. I and I ∗ convergence in topological spaces, Math. Bohem. 130, No. 2, 153–160, 2005.
- Pehlivan, S., Guncan, A. and Mammedov, M. Statistical cluster points of sequences in finite dimensional spaces, Czechoslovak Math. J. 54, No. 129, 95–102, 2004.
- Phu, H. X. Rough Convergence in normed linear spaces, Numer. Funct. Anal. Optimiz. 22, 201–224, 2001.
- Phu, H. X. Rough continuity of linear operators, Numer. Funct. Optimiz. 23, 139–146, 2000. Phu, H. X. Rough convergence in infinite dimensional normed spaces, Numer. Funct. Anal. Optimiz. 24, 285–301, 2003.
- ˇ Sal´ at, T. On statistically convergent sequences of real numbers, Math. Slovaca 30, 139–150, 1980.
- Savas, E. and Das, P. A generalized statistical convergence via ideals, Appl. Math. Lett. 24, 826–830, 2011.
- Savas, E., Das, P. and Dutta, S. A note on strong matrix summability via ideals, Appl. Math. Lett. 25, 733–738, 2012.
- Schoenberg, I. J. The integrability of certain functions and related summability methods, Amer. Math. Monthly 66, 361–375, 1959.
- Steinhaus, H. Sur la convergence ordinaire et la convergence asymptotique, Colloq. Math. 2, 73–74, 1951.
Year 2013,
Volume: 42 Issue: 6
,
633
-
640
,
01.06.2013
Abstract
-
Keywords
References
- Aytar, S. The Rough Limit Set and the Core of a Real Sequence, Numer. Funct. Anal. Optimiz. 29, No. 3, 283–290, 2008.
- Aytar, S. Rough Statistical Convergence, Numer. Funct. Anal. Optimiz. 29, No. 3, 291–303, 200 Cooke, R. G. Infinite Matrices and Sequence Spaces, (Dover Publ. Inc., New York, 1955).
- Das, P. and Ghosal, S. K. Some further results on I-Cauchy sequences and condition(AP), Comp. Math. Appl. 59, 2597–2600, 2010.
- Das, P., Pal, S. K. and Ghosal, S. K. Some further remarks on ideal summability in 2-normed spaces, Appl. Math. Lett. 24, 39–43, 2011.
- Das, P., Savas, E. and Ghosal, S. K. On generalizations of certain summability methods using ideals, Appl. Math. Lett. 24, 1509–1514, 2011.
- Demirci, K. I-limit superior and limit inferior, Math. Commun. 6, No.-2, 165–172, 2001.
- Fast, H. Sur la convergence statistique, Colloq. Math. 2, 241–244, 1951.
- Fridy, J. A. On Statistical Convergence, Analysis 5, 301–313, 1985.
- Knopp, K. Zur theorie der limitierungsverfahern (Erste Mitteilung), Math. Z. 31, 97–127, 19 Kostyrko, P., ˇ Sal´ at, T. and Wilczy´ nski, W. I-Convergence, Real. Anal. Exchange 26, No. 2, 669–685, 2000/2001.
- Kostyrko, P., M´ aˇ caz, M., ˇ Sal´ at, T. and Sleziak, M. I-Convergence and Extremal I-limit points, Math. Slovaca 55, No. 4, 443–454, 2005.
- Lahiri, B. K. and Das, P. Further results on I-limit superior and I-limit inferior, Math. Commun. 8, 151–156, 2003.
- Lahiri, B. K. and Das, P. I and I ∗ convergence in topological spaces, Math. Bohem. 130, No. 2, 153–160, 2005.
- Pehlivan, S., Guncan, A. and Mammedov, M. Statistical cluster points of sequences in finite dimensional spaces, Czechoslovak Math. J. 54, No. 129, 95–102, 2004.
- Phu, H. X. Rough Convergence in normed linear spaces, Numer. Funct. Anal. Optimiz. 22, 201–224, 2001.
- Phu, H. X. Rough continuity of linear operators, Numer. Funct. Optimiz. 23, 139–146, 2000. Phu, H. X. Rough convergence in infinite dimensional normed spaces, Numer. Funct. Anal. Optimiz. 24, 285–301, 2003.
- ˇ Sal´ at, T. On statistically convergent sequences of real numbers, Math. Slovaca 30, 139–150, 1980.
- Savas, E. and Das, P. A generalized statistical convergence via ideals, Appl. Math. Lett. 24, 826–830, 2011.
- Savas, E., Das, P. and Dutta, S. A note on strong matrix summability via ideals, Appl. Math. Lett. 25, 733–738, 2012.
- Schoenberg, I. J. The integrability of certain functions and related summability methods, Amer. Math. Monthly 66, 361–375, 1959.
- Steinhaus, H. Sur la convergence ordinaire et la convergence asymptotique, Colloq. Math. 2, 73–74, 1951.
There are 20 citations in total.
Details
| Primary Language | Turkish |
|---|---|
| Authors | |
| Publication Date | June 1, 2013 |
| IZ | https://izlik.org/JA36RD44GG |
| Published in Issue | Year 2013 Volume: 42 Issue: 6 |