Open Access

I-Completeness in Function Spaces

Tatra Mountains Mathematical Publications's Cover Image
Tatra Mountains Mathematical Publications
Real Functons, Ideals, Measurable Functions, Functional Equations

Cite

[1] BALÁŽ, V.—ČERVEŇANSKÝ, J.—KOSTYRKO, P.—ŠALÁT, T.: I-convergence and I-continuity of real functions, Acta Mathematica 5 (2002), 43–50.Search in Google Scholar

[2] BANERJEE, A. K.—BANERJEE, A.: Anote on I-convergence and I*-convergence of sequences and nets in topological spaces, Mat. Vesnik 67(2015), 212–221.Search in Google Scholar

[3] DEMIRCI, K.: I-limit superior and limit inferior, Math. Commun. 6 (2001), 165–172.Search in Google Scholar

[4] DAS, P.—GHOSAL, S. K.: On I-Cauchy nets and completeness, Topology Appl. 157 (2010), 1152–1156.10.1016/j.topol.2010.02.003Search in Google Scholar

[5] FAST, H.: Sur la convergence statistique, Colloq. Math. 2 (1951), 241–244.10.4064/cm-2-3-4-241-244Search in Google Scholar

[6] HALBERSTEM, H.—ROTH, K. F.: Sequences. Springer, New York, 1993.Search in Google Scholar

[7] KELLEY, J. L.: General Topology. (2nd ed.). In: Grad. Texts in Math. Vol. 27, Springer-Verlag, Berlin, 1975.Search in Google Scholar

[8] KOSTYRKO, P.—ŠALÁT, T.—WILCZYŃSKI, W.: I-convergence, Real Anal. Exchange 26 (2000/2001), 669–686.10.2307/44154069Search in Google Scholar

[9] KOSTYRKO, P.—MAČAJ, M.—ŠALÁT, T.—SLEZIAK, M.: I-convergence and extremal I-limit point, Math. Slovaca 55 (2005), 443–464.Search in Google Scholar

[10] KURATOWSKI, K.: Topologie I. PWN, Warszawa, 1961.Search in Google Scholar

[11] LAHIRI, B. K.—DAS, P.: Further results on I-limit superior and I-limit inferior,Math. Commun. 8 (2003), 151–156.Search in Google Scholar

[12] _______ I and I*-convergence in topological spaces, Math. Bohemica 130 (2005), 153–160.10.21136/MB.2005.134133Search in Google Scholar

[13] _______ I and I*-convergence of nets, Real Anal. Exchange 33 (2007/2008), 431–442.10.14321/realanalexch.33.2.0431Search in Google Scholar

[14] MAČAJ, M.—ŠALÁT, T.: Statistical convergence of subsequences of a given sequence, Math. Bohemica 126 (2001), 191–208.10.21136/MB.2001.133923Search in Google Scholar

[15] NIVEN, I.—ZUCKERMAN, H. S.: An Introduction to the Theory of Numbers.(4th ed.). John Wiley, New York, 1980.Search in Google Scholar

[16] ŠALÁT, T.: On statistically convergent sequences of real numbers, Math. Slovaca 30 (1980), 139–150.Search in Google Scholar

[17] SCHOENBERG, I. J.: The integrability of certain functions and related summability methods,Amer. Math. Monthly 66 (1959), 361–375.10.1080/00029890.1959.11989303Search in Google Scholar

[18] WILLARD, S.: General Topology. Dover Publ., Inc., Mineola, NY, USA, 2004.Search in Google Scholar

eISSN:
1210-3195
Language:
English
Publication timeframe:
3 times per year
Journal Subjects:
Mathematics, General Mathematics