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Abstrakty
The idea of difference sequence spaces were introduced by Kizmaz [6] and generalized by Et. and Colak [4]. Later Tripathy, Esi and Tripathy [15] introduced the notion of the new difference operator Δnm for n, m ∈ N. In this paper we introduced some new type of generalized difference sequence spaces defined by a modulus function and the new type of statistically convergent generalized difference sequence space. We study their different properties and obtain some inclusion relations involving these new type difference sequence spaces.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
15--24
Opis fizyczny
Bibliogr. 15 poz.
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autor
autor
- Department of Mathematics, Science and Arts Faculty, Adiyaman University, 020240, Adiyaman, Turkey, aesi23@hotmail.com
Bibliografia
- [1]CONNOR J.S., On strong matrix summability with respect to a modulus and statistical convergence, Canadian Math. Bull., 32(2)(1989), 194-198.
- [2]Esi A., Some new sequence spaces defined by a sequence of moduli, Tr. J. of Math., 21(1997), 61-68.
- [3]ET M., ALTIN Y., ALTINOK H., Some generalized difference sequence spaces defined by a modulus function, FILOMAT, 17(2003), 23-33.
- [4]ET M., COLAK R., On some generalized difference sequence spaces, Soochow J. Math., 21(1995), 377-386.
- [5]FAST H., Sur la convergence statistique, Colloq. Math., 2(1951), 241-244.
- [6]KIZMAZ H., On certain sequence spaces, Canadian Math. Bull., 24(1981), 169-176.
- [7]KUTTNER B., Note on strong summability, J. London Math. Soc., 21(1946), 118-122.
- [8]LEINDLER L, Uber die la Vallee-Pousinche Summierbarkeit Allgemeiner Orthogonalreihen, Acta Math. Hung., 16(1965), 375-378.
- [9]MADDOX I.J., Spaces of strongly summable sequences, Quart. J. Math. Oxford Ser-2, 18(1967), 345-355.
- [10]MADDOX I.J., Sequence spaces defined by a modulus, Math. Proc. Camb.Phil. Soc., 100(1986), 161-166.
- [11]MADDOX I.J., Elements of Functional Analysis, Cambridge Univ. Press, 1970.
- [12]MURSALEEN, λ-statistical convergence, Math. Slovaca, 50(2000), 111-115.
- [13]NAKANO H., Concave modulars, J. Math. Soc. Japan, 5(1953), 29-49.
- [14]RUCKLE W.H., FK spaces in which the sequence of coordinate vectors is bounded, Canad J. Math., 25(1973), 973-978.
- [15]TRIPATHY B.C., Esi A., TRIPATHY B.K., On a new type of generalized difference Cesaro sequence spaces, Soochow J. Math., 31(3)(2005), 333-340.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPP1-0091-0096