참고문헌
- H. Fast, Sur la convergenc statistique, Colloq. Math. 2 (1951), 241-244. https://doi.org/10.4064/cm-2-3-4-241-244
- M. Mursaleen, O.H.H. Edely, Statistical convergence of double sequence, J. Math. Anal. Appl. 288 (2003), 223-231. https://doi.org/10.1016/j.jmaa.2003.08.004
- S. Yegul and E. Dundar, Statistical convergence of double sequences of functions and some properties in 2-normed spaces, Facta Univ. Ser. Math. Inform. 33 (5) (2018), 705-719.
- M. Gurdal and S. Pehlivan, The statistical convergence in 2-Banach spaces, Thai J. Math. 2 (1) (2004), 107-113.
- M. Gurdal and S. Pehlivan, Statistical convergence in 2-normed spaces, Southeast Asian Bull. Math. 33 (2009), 257-264.
- P. Kostyrko, T. Salat and W. Wilczynski, I-convergence, Real Anal. Exchange, 26 (2) (2000), 669-686. https://doi.org/10.2307/44154069
- P. Kostyrko, M. Macaj, T. Salat and M. Sleziak, I-convergence and extremal I-limit points, Math. Slovaca, 55 (2005), 443-464.
- E. Savas and M. Gurdal, I-statistical convergence in probabilistic normed space, Sci. Bull. Series A Appl. Math. Physics, 77 (4) (2015), 195-204.
- M. Gurdal and M.B Huban, On I-convergence of double sequences in the Topology induced by random 2-norms, Mat. Vesnik, 66 (1) (2014), 73-83.
- M. Gurdal and A. Sahiner, Extremal I-limit points of double sequences, Appl. Math. E-Notes, 8 (2008), 131-137.
- E. Savas and M. Gurdal, Certain summability methods in intuitionistic fuzzy normed spaces, J. Intell. Fuzzy Syst. 27 (4) (2014), 1621-1629. https://doi.org/10.3233/IFS-141128
- E. Savas and M. Gurdal, A generalized statistical convergence in intuitionistic fuzzy normed spaces, Science Asia, 41 (2015), 289-294. https://doi.org/10.2306/scienceasia1513-1874.2015.41.289
- E. Savas and P. Das, A generalized statistical convergence via ideals, Appl. Math. Lett. 24 (2011), 826-830. https://doi.org/10.1016/j.aml.2010.12.022
- M. Mohiuddine and B. Hazarika, Some classes of ideal convergent sequences and generalized difference matrix operator, Filomat, 31 (6) (2017), 1827-1834. https://doi.org/10.2298/FIL1706827M
- M. Mursaleen and S.A. Mohiuddine, On ideal convergence in probabilistic normed spaces, Math. Slovaca 62 (1) (2012), 49-62. https://doi.org/10.2478/s12175-011-0071-9
- M. Mursaleen, S. Debnath and D. Rakshit, I-statistical limit superior and I-statistical limit inferior, Filomat, 31 (7) (2017), 2103-2108. https://doi.org/10.2298/FIL1707103M
- E. Dundar and O. Talo, I2-convergence of double sequences of fuzzy numbers, Iran. J. Fuzzy Syst. 10 (3) (2013), 37-50.
- M. Arslan and E. Dundar, On I-convergence of sequences of functions in 2-normed spaces, Southeast Asian Bull. Math. 42 (2018), 491-502.
- E. Dundar and B. Altay, Multipliers for bounded I2-convergence of double sequences, Math. Comput. Model. 55 (3-4) (2012), 1193-1198. https://doi.org/10.1016/j.mcm.2011.09.043
- E. Dundar and N. P. Akin, Wijsman lacunary ideal invariant convergence of double sequences of sets, Honam Math. J. 42 (2) (2020), 345-358. https://doi.org/10.5831/HMJ.2020.42.2.345
- E. Dundar, N. P. Akin, Wijsman lacunary ideal invariant convergence of double sequences of sets, Honam Math. J. 42 2 (2020), 345-358. https://doi.org/10.5831/HMJ.2020.42.2.345
- H. Gumus and F. Nuray, ∆m-Ideal convergence, Selcuk J. Appl. Math. 12 (2) (2011), 101-110.
- S. Debnath and J. Debnath, On I-statistically convergent sequence spaces defined by sequences of Orlicz functions using matrix transformation, Proyecciones, 33 (3) (2014), 277-285. https://doi.org/10.4067/s0716-09172014000300004
- M. Et, A. Alotaibi and S. A. Mohiuddine, On (∆m-I)-statistical convergence of order α, Sci. World J. (2014), Article ID 535419 5 pages.
- H. X. Phu, Rough convergence in normed linear spaces, Numer. Funct. Anal. Optim. 22 (2001), 199-222. https://doi.org/10.1081/NFA-100103794
- H. X. Phu, Rough continuity of linear operators, Numer. Funct. Anal. Optim. 23 (2002), 139-146. https://doi.org/10.1081/NFA-120003675
- H. X. Phu, Rough convergence in infinite dimensional normed spaces, Numer. Funct. Anal. Optim. 24 (2003), 285-301. https://doi.org/10.1081/NFA-120022923
- M. Arslan and E. Dundar, Rough convergence in 2-normed spaces, Bull. Math. Anal. Appl. 10 (3) (2018), 1-9.
- S. Aytar, Rough statistical convergence, Numer. Funct. Anal. Optim. 29 (3-4) (2008), 291-303. https://doi.org/10.1080/01630560802001064
- S. Aytar, The rough limit set and the core of a real sequence, Numer. Funct. Anal. Optim. 29 (3-4) (2008), 283-290. https://doi.org/10.1080/01630560802001056
- S.K. Pal, D. Chandra and S. Dutta, Rough ideal convergence, Hacet. J. Math. Stat. 42 (6) (2013), 633-640.
- P. Malik, M. Maity, On rough convergence of double sequences in normed linear spaces, Bull. Allahabad Math. Soc. 28 (1) (2013), 89-99.
- P. Malik, M. Maity, On rough statistical convergence of double sequences in normed linear spaces, Afr. Mat. 27, (2016), 141-148. https://doi.org/10.1007/s13370-015-0332-9
- E. Dundar and C. Cakan, Rough I-convergence, Gulf J. Math. 2 (1) (2014), 45-51.
- E. Dundar and C. Cakan, Rough convergence of double sequences, Demonstr. Math. 47 (3) (2014), 638-651. https://doi.org/10.2478/dema-2014-0051
- E. Dundar, On Rough I2-convergence, Numer. Funct. Anal. Optim. 37 (4) (2016), 480-491. https://doi.org/10.1080/01630563.2015.1136326
- E. Savas, S. Debnath and D. Rakshit, On I-statistically rough convergence, Publ. Inst. Math. 105 (119) (2019), 145-150. https://doi.org/10.2298/PIM1919145S
- M. Arslan and E. Dundar, On rough convergence in 2-normed spaces and some properties, Filomat, 33 (16) (2019), 5077-5086, https://doi.org/10.2298/fil1916077a
- O. Kisi and E. Dundar, Rough I2-lacunary statistical convergence of double sequences, J. Inequal. Appl. 2018:230 (2018), 16 pages.
- N. Demir and H. Gumus, Rough convergence for difference sequences, New Trends Math. Sci. 2 (8) (2020), 22-28 https://doi.org/10.20852/ntmsci.2020.402
- N. Demir and H. Gumus, Rough statistical convergence for difference sequences, Kragujevac J. Math. 46 (5) (2022), 733-742.
- H. Gumus and N. Demir, ∆I-Rough convergence, under review.
- O. Kisi and E. Dundar, Rough ∆I-statistical convergence, Numer. Funct. Anal. Optim. (to appear).
- O. Kisi, H. Kubra Unal, Rough ∆I2-statistical convergence of double difference sequences in normed linear spaces, Bull. Math. Anal. Appl. 12 (1) (2020), 1-11.
- O. Kisi, Rough ∆I2-convergence of double difference sequences, Ann. Fuzzy Math. Inform. 20 (2) (2020), 105-114. https://doi.org/10.30948/AFMI.2020.20.2.105