On the domain of difference double sequence spaces of arbitrary orders

References

[1] Z. U. Ahmad and Mursaleen, Köthe–Toeplitz duals of some new sequence spaces and their matrix maps, Publ. Inst. Math. (Beograd) (N. S.) 42(56) (1987), 57–61. Suche in Google Scholar

[2] B. Altay and F. Başar, Some new spaces of double sequences, J. Math. Anal. Appl. 309 (2005), no. 1, 70–90. 10.1016/j.jmaa.2004.12.020Suche in Google Scholar

[3] Ç. Asma and R. Çolak, On the Köthe–Toeplitz duals of some generalized sets of difference sequences, Demonstratio Math. 33 (2000), no. 4, 797–803. 10.1515/dema-2000-0412Suche in Google Scholar

[4] P. Baliarsingh, Some new difference sequence spaces of fractional order and their dual spaces, Appl. Math. Comput. 219 (2013), no. 18, 9737–9742. 10.1016/j.amc.2013.03.073Suche in Google Scholar

[5] P. Baliarsingh, On a fractional difference operator, Alexandria Eng. J. 55 (2016), no. 2, 1811–1816. 10.1016/j.aej.2016.03.037Suche in Google Scholar

[6] P. Baliarsingh, On difference double sequence spaces of fractional order, Indian J. Math. 58 (2016), no. 3, 287–310. Suche in Google Scholar

[7] P. Baliarsingh, On double difference operators via four dimensional matrices, J. Indian Math. Soc. (N. S.) 83 (2016), no. 3–4, 209–219. Suche in Google Scholar

[8] P. Baliarsingh and S. Dutta, A unifying approach to the difference operators and their applications, Bol. Soc. Parana. Mat. (3) 33 (2015), no. 1, 49–57. 10.5269/bspm.v33i1.19884Suche in Google Scholar

[9] P. Baliarsingh and S. Dutta, On the classes of fractional order difference sequence spaces and their matrix transformations, Appl. Math. Comput. 250 (2015), 665–674. 10.1016/j.amc.2014.10.121Suche in Google Scholar

[10] P. Baliarsingh and L. Nayak, A note on fractional difference operators, Alexandria. Eng. J. 57 (2018), no. 2, 1051–1054. 10.1016/j.aej.2017.02.022Suche in Google Scholar

[11] M. Başarır, On the strong almost convergence of double sequences, Period. Math. Hungar. 30 (1995), no. 3, 177–181. 10.1007/BF01876616Suche in Google Scholar

[12] M. Başarır, A note on the rates of convergence of double sequences, Sarajevo J. Math. 10 (2014), 87–92. 10.5644/SJM.10.1.11Suche in Google Scholar

[13] M. Başarır and Ş. Konca, On some lacunary almost convergent double sequences spaces and Banach limits, Abstr. Appl. Anal. 2012 (2012), Article ID 426357. 10.1155/2012/426357Suche in Google Scholar

[14] M. Başarır and Ş. Konca, Weighted lacunary statistical convergence, Iran. J. Sci. Technol. Trans. A Sci. 41 (2017), no. 1, 185–190. 10.1007/s40995-017-0188-ySuche in Google Scholar

[15] M. Başarır and O. Sonalcan, On some double sequence spaces, J. Indian Acad. Math. 21 (1999), no. 2, 193–200. Suche in Google Scholar

[16] Ç. A. Bektaş, M. Et and R. Çolak, Generalized difference sequence spaces and their dual spaces, J. Math. Anal. Appl. 292 (2004), no. 2, 423–432. 10.1016/j.jmaa.2003.12.006Suche in Google Scholar

[17] S. Dutta and P. Baliarsingh, A note on paranormed difference sequence spaces of fractional order and their matrix transformations, J. Egyptian Math. Soc. 22 (2014), no. 2, 249–253. 10.1016/j.joems.2013.07.001Suche in Google Scholar

[18] M. Et and R. Çolak, On some generalized difference sequence spaces, Soochow J. Math. 21 (1995), no. 4, 377–386. Suche in Google Scholar

[19] A. Gökhan and R. Çolak, The double sequences spaces c 2 P ⁢ ( p ) and c 2 P ⁢ B ⁢ ( p ) , Appl. Math. Comput. 157 (2004), no. 2, 491–501. 10.1016/j.amc.2003.08.047Suche in Google Scholar

[20] A. Gökhan and R. Çolak, Double sequence space l 2 ∞ ⁢ ( p ) , Appl. Math. Comput. 160 (2005), no. 1, 147–153. 10.1016/j.amc.2003.08.142Suche in Google Scholar

[21] H. Kızmaz, On certain sequence spaces, Canad. Math. Bull. 24 (1981), no. 2, 169–176. 10.4153/CMB-1981-027-5Suche in Google Scholar

[22] F. Móricz, Extensions of the spaces c and c 0 from single to double sequences, Acta Math. Hungar. 57 (1991), no. 1–2, 129–136. 10.1007/BF01903811Suche in Google Scholar

[23] Mursaleen, Almost strongly regular matrices and a core theorem for double sequences, J. Math. Anal. Appl. 293 (2004), no. 2, 523–531. 10.1016/j.jmaa.2004.01.014Suche in Google Scholar

[24] Mursaleen and O. H. H. Edely, Statistical convergence of double sequences, J. Math. Anal. Appl. 288 (2003), no. 1, 223–231. 10.1007/978-81-322-1611-7_7Suche in Google Scholar

[25] Mursaleen and O. H. H. Edely, Almost convergence and a core theorem for double sequences, J. Math. Anal. Appl. 293 (2004), no. 2, 532–540. 10.1016/j.jmaa.2004.01.015Suche in Google Scholar

[26] L. Nayak and P. Baliarsingh, On difference double sequences and their applications, Current Trends in Mathematical Analysis and its Interdisciplinary Applications, Birkhäuser/Springer, Cham (2019), 809–829. 10.1007/978-3-030-15242-0_20Suche in Google Scholar

[27] R. F. Patterson, Double sequence core theorems, Int. J. Math. Math. Sci. 22 (1999), no. 4, 785–793. 10.1155/S0161171299227858Suche in Google Scholar

[28] R. F. Patterson, Comparison theorems for four dimensional regular matrices, Southeast Asian Bull. Math. 26 (2002), no. 2, 299–305. 10.1007/s100120200050Suche in Google Scholar

[29] A. Pringsheim, Zur Theorie der zweifach unendlichen Zahlenfolgen, Math. Ann. 53 (1900), no. 3, 289–321. 10.1007/BF01448977Suche in Google Scholar

[30] G. M. Robison, Divergent double sequences and series, Trans. Amer. Math. Soc. 28 (1926), no. 1, 50–73. 10.1090/S0002-9947-1926-1501332-5Suche in Google Scholar

[31] E. Savaş, On strong double matrix summability via ideals, Filomat 26 (2012), no. 6, 1143–1150. 10.2298/FIL1206143SSuche in Google Scholar

[32] E. Savaş and R. F. Patterson, Double sequence spaces defined by a modulus, Math. Slovaca 61 (2011), no. 2, 245–256. 10.2478/s12175-011-0009-2Suche in Google Scholar

[33] U. Ulusu and F. Nuray, On strongly lacunary summability of sequences of sets, J. Appl. Math. Bioinform. 3 (2013), no. 2, 75–88. 10.1155/2013/310438Suche in Google Scholar

[34] M. Yeşilkayagil and F. Başar, Domain of Riesz mean in some spaces of double sequences, Indag. Math. (N. S.) 29 (2018), no. 3, 1009–1029. 10.1016/j.indag.2018.03.006Suche in Google Scholar

[35] M. Zeltser, M. Mursaleen and S. A. Mohiuddine, On almost conservative matrix methods for double sequence spaces, Publ. Math. Debrecen 75 (2009), no. 3–4, 387–399. 10.5486/PMD.2009.4396Suche in Google Scholar