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MR ZblKeywords: $I$-convergence; $I^*$-convergence; condition (AP); $I$-limit point; $I$-cluster point
Lahiri, B. K.; Das, Pratulananda. $I$ and $I^*$-convergence in topological spaces. Mathematica Bohemica, Tome 130 (2005) no. 2, pp. 153-160. doi: 10.21136/MB.2005.134133
@article{10_21136_MB_2005_134133,
author = {Lahiri, B. K. and Das, Pratulananda},
title = {$I$ and $I^*$-convergence in topological spaces},
journal = {Mathematica Bohemica},
pages = {153--160},
year = {2005},
volume = {130},
number = {2},
doi = {10.21136/MB.2005.134133},
mrnumber = {2148648},
zbl = {1111.40001},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2005.134133/}
}
TY - JOUR AU - Lahiri, B. K. AU - Das, Pratulananda TI - $I$ and $I^*$-convergence in topological spaces JO - Mathematica Bohemica PY - 2005 SP - 153 EP - 160 VL - 130 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.21136/MB.2005.134133/ DO - 10.21136/MB.2005.134133 LA - en ID - 10_21136_MB_2005_134133 ER -
[1] Baláž, V., Červeňanský, J., Kostyrko, P., Šalát, T.: $I$-convergence and $I$-continuity of real functions. Faculty of Natural Sciences, Constantine the Philosoper University, Nitra, Acta Mathematica 5, 43–50.
[2] Connor, J. S.: The statistical and strong $p$-Cesaro convergence of sequences. Analysis 8 (1988), 47–63. | DOI | MR | Zbl
[3] Demirci, K.: $I$-limit superior and limit inferior. Math. Commun. 6 (2001), 165–172. | MR | Zbl
[4] Fast, H.: Sur la convergence statistique. Colloq. Math. 2 (1951), 241–244. | DOI | MR | Zbl
[5] Halberstem, H., Roth, K. F.: Sequences. Springer, New York, 1993.
[6] Kostyrko, P., Šalát, T., Wilczyński, W.: $I$-convergence. Real Analysis Exch. 26 (2000/2001), 669–685. | DOI | MR
[7] Kostyrko, P., Mačaj, M., Šalát, T., Sleziak, M.: $I$-convergence and a termal $I$-limit points. (to appear).
[8] Kuratowski, K.: Topologie I. PWN, Warszawa, 1962.
[9] Lahiri, B. K., Das, Pratulananda: Further results on $I$-limit superior and $I$-limit inferior. Math. Commun. 8 (2003), 151–156. | MR
[10] Mačaj M., Šalát, T.: Statistical convergence of subsequences of a given sequence. Math. Bohem. 126 (2001), 191–208. | MR
[11] Niven, I., Zuckerman, H. S.: An introduction to the theory of numbers. 4th ed., John Wiley, New York, 1980. | MR
[12] Šalát, T.: On statistically convergent sequences of real numbers. Math. Slovaca 30 (1980), 139–150. | MR
[13] Šalát, T., Tripathy, B. C., Ziman, M.: A note on $I$-convergence field. (to appear). | MR
[14] Schoenberg, I. J.: The integrability of certain function and related summability methods. Am. Math. Mon. 66 (1959), 361–375. | DOI | MR
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