Open Access

On some lacunary difference sequence spaces defined by a sequence of Orlicz functions and q-lacunary Δnm-statistical convergence


Cite

[1] Y. Altin, M. Et and B.C. Tripathy, The sequence space | ¯Np|(M, r, q, s) on seminormed spaces, Applied Mathematics and Computation 154 (2004), 423-430. 10.1016/S0096-3003(03)00722-7Search in Google Scholar

[2] R. Colak, B.C. Tripathy and M. Et, Lacunary strongly summable se- quences and q-lacunary almost statistical convergence, Vietnam J. Math. 34(2) (2006), 129-138. Search in Google Scholar

[3] M. Et, Y. Altin, B. Choudhary and B.C. Tripathy, On some classes of sequences defined by sequences of Orlicz functions, Mathematical Inequal- ities and Applications 9(2) (2006), 335-342. 10.7153/mia-09-33Search in Google Scholar

[4] M. Et and R. Colak, On generalized difference sequence spaces, Soochow J. Math. 21(4) (1995), 377-386. Search in Google Scholar

[5] H. Fast, Surla convergence statistique, Colloq. Math. 2 (1951), 241-244. 10.4064/cm-2-3-4-241-244Search in Google Scholar

[6] J. A. Fridy, On statistical convergence, Analysis 5 (1985), 301-313. 10.1524/anly.1985.5.4.301Search in Google Scholar

[7] A.R. Freedman, J.J. Sember and M. Raphael, Some Ces`aro-type summa- bility spaces, Proc. Lond. Math. Soc. 37(3) (1978), 508-520. 10.1112/plms/s3-37.3.508Search in Google Scholar

[8] H. Hudzik, A. Kami´nska and M. Mastylo, On the dual of Orlicz-Lorentz space, Proc. Amer. Math. Soc. 130(6) (2002), 1645-1654. 10.1090/S0002-9939-02-05997-XSearch in Google Scholar

[9] M. I¸sik, M. Et and B.C. Tripathy, On some new seminormed sequence spaces defined by Orlicz functions, Thai J. Math. 2(1) (2004), 141-149. Search in Google Scholar

[10] H. Kizmaz, On certain sequence spaces, Canad. Math. Bull. 24(2) (1981), 169-176. 10.4153/CMB-1981-027-5Search in Google Scholar

[11] J. Lindenstrauss and L. Tzafriri, On Orlicz sequence spaces, Israel J. Math. 10 (1971), 379-390. 10.1007/BF02771656Search in Google Scholar

[12] D. Rath and B.C. Tripathy, Matrix maps on sequence spaces associated with sets of integers, Indian J. Pure Appl. Math. 27(2) (1996) 197-206. Search in Google Scholar

[13] I. J. Schoenberg, The integrability of certain functions and related summa- bility methods, Amer. Math. Monthly, 66 (1959), 361-375. 10.1080/00029890.1959.11989303Search in Google Scholar

[14] T. ˘Sal`at, On statistically convergent sequences of real numbers, Math. Slovaca, 30 (1980), 139-150. Search in Google Scholar

[15] B.C. Tripathy, Matrix transformations between some classes of sequences, J. Math. Analysis Appl. 206 (1997), 448-450. 10.1006/jmaa.1997.5236Search in Google Scholar

[16] B.C. Tripathy, On generalized difference paranormed statistically conver- gent sequences, Indian J. Pure Appl. Math. 35(5) (2004),655-663. Search in Google Scholar

[17] B.C. Tripathy, Y. Altin and M. Et, Generalized difference sequences spaces on seminormed spaces defined by Orlicz functions, Math. Slovaca 58(3) (2008), 315-324 10.2478/s12175-008-0077-0Search in Google Scholar

[18] B.C. Tripathy and A. Baruah, New type of difference sequence spaces of fuzzy real numbers, Mathematical Modelling and Analysis 14(3) (2009), 391-397. 10.3846/1392-6292.2009.14.391-397Search in Google Scholar

[19] B.C. Tripathy and A. Baruah, Lacunary statistically convergent and la- cunary strongly convergent generalized difference sequences of fuzzy real numbers, Kyungpook Math. J. 50(4)(2010), 565-574.. 10.5666/KMJ.2010.50.4.565Search in Google Scholar

[20] B.C. Tripathy and S. Borgogain, The sequence space m(M, φ,Δnm, p)F , Mathematical Modelling and Analysis 13(4) (2008), 577-586. 10.3846/1392-6292.2008.13.577-586Search in Google Scholar

[21] B.C. Tripathy; B. Choudhary and B. Sarma, On some new type gen- eralized difference sequence spaces, Kyungpook Math. J. 48(4) (2008), 613-622. 10.5666/KMJ.2008.48.4.613Search in Google Scholar

[22] B.C. Tripathy and H. Dutta, On some new paranormed difference se- quence spaces defined by Orlicz functions, Kyungpook Math. J. 50 (2010), 59-69. 10.5666/KMJ.2010.50.1.059Search in Google Scholar

[23] B. C. Tripathy and A. Esi, A new type of difference sequence spaces, Int. J. Sci. Technol. 1(1) (2006), 11-14. Search in Google Scholar

[24] B .C. Tripathy, A. Esi and B. K. Tripathy, On a new type of generalized difference Ces`aro Sequence spaces, Soochow J. Math. 31:3 (2005), 333-340. Search in Google Scholar

[25] B.C. Tripathy and B. Hazarika: Paranormed I-convergent sequences spaces; Math. Slovaca; 59(4)(2009), 485-494. 10.2478/s12175-009-0141-4Search in Google Scholar

[26] B.C. Tripathy and B. Hazarika, I-convergent sequences spaces defined by Orlicz function, Acta Mathematica Applicatae Sinica; 27(1)(2011) 149-154. 10.1007/s10255-011-0048-zSearch in Google Scholar

[27] B. C. Tripathy and S. Mahanta, On a class of generalized lacunary dif- ference sequence spaces defined by Orlicz function, Acta Mathematica Applicata Sinica 20(2) (2004), 231-238. 10.1007/s10255-004-0163-1Search in Google Scholar

[28] B.C. Tripathy and B. Sarma, Statistically convergent difference double sequence spaces, Acta Mathematica Sinica 24(5) (2008), 737-742. 10.1007/s10114-007-6648-0Search in Google Scholar

[29] B.C. Tripathy and B. Sarma, Sequence spaces of fuzzy real numbers de- fined by Orlicz functions, Math. Slovaca 58(5) (2008), 621-628. 10.2478/s12175-008-0097-9Search in Google Scholar

[30] B.C. Tripathy and B. Sarma, Vector valued double sequence spaces defined by Orlicz function, Math. Slovaca 59(6) (2009), 767-776. 10.2478/s12175-009-0162-zSearch in Google Scholar

[31] B.C. Tripathy and B. Sarma, Double sequence spaces of fuzzy numbers defined by Orlicz function, Acta Mathematica Scientia 31B(1) (2011), 134-140. 10.1016/S0252-9602(11)60215-4Search in Google Scholar

[32] B. C. Tripathy and M. Sen, On generalized statistically convergent se- quence spaces, Indian J. Pure Appl. Math. 32(11) (2001), 1689-1694. Search in Google Scholar

[33] B.C. Tripathy and M. Sen, Characterization of some matrix classes in- volving paranormed sequence spaces, Tamkang J. Mathematics 37(2) (2006), 155-162.10.5556/j.tkjm.37.2006.160Search in Google Scholar

eISSN:
1844-0835
Language:
English
Publication timeframe:
Volume Open
Journal Subjects:
Mathematics, General Mathematics