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Abstrakty
In this paper, we define and examine some new difference sequence spaces combining with de la Vallee-Poussin mean and a sequence of Orlicz functions which completes the gap of the literature. We also introduce the concept of S -statistical convergent sequences and give some inclusion relations between these defined spaces with the space of -statistical convergent sequences.
Czasopismo
Rocznik
Tom
Strony
17--30
Opis fizyczny
Bibliogr. 20 poz.
Twórcy
autor
autor
- Department of Mathematics Faculty of Science and Arts, Sakarya, Turkey
Bibliografia
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- [3] Maddox I.J., Sequence spaces defined y a modulus, Math. Proc. Cambridge Philos. Soc., 100(1986), 161-166.
- [4] Lindenstrauss J., Tzafriri L., On Orlicz sequence spaces, Isr. J. Math., 10(1971), 379-390.
- [5] Parashar S.D., Choudhary B., Sequence spaces defined by Orlicz functions, Indian J. Pure Appl. Math., 25(4)(1994), 419-428.
- [6] Nuray F., Gülcü A., Some new sequence spaces defined by Orlicz functions, Indian J. Pure Appl. Math., 26(1995), 1169-1176.
- [7] Bhardwaj V.K., Singh N., Some sequence spaces defined by Orlicz functions, Demonstra. Math., 33(3)(2000), 571-582.
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- [9] KlZMAZ H., On certain sequence spaces, Canad. Math. Bull., 24(1981), 169-176.
- [10] Et M., Çolak R., On some generalized difference sequence spaces, Soochow Journal of Math., 21(4)(1995), 377-386.
- [11] Et M., Başarir M., On some new generalized difference sequence spaces, Period. Math. Hung., 35(1997), 169-175.
- [12] Ahmad H., Bataineh A., Laith E. Azar, On new difference sequence spaces defined by a sequence of Orlicz functions, J. Inst. Math. Comput. Sci. Math. Ser., 16(2003), 51-56.
- [13] Bilgin T., Some new difference sequence spaces defined by an Orlicz functions, Filomat, 17(2003), 1-8.
- [14] Malkowsky E., Parashar S.D., Matrix transformations inspaces of bounded and convergent difference sequences of order m, Analysis, 17(1997), 87-97.
- [15] Maddox I.J., Spaces of strongly summable sequences, Quart. J. Math., 18(2)(1967), 345-355.
- [16] Fast H., Sur la convergence statistique, Colloq. Math., 2(1951), 241-244.
- [17] Connor J.S., The statistical and strong p-Cesaro convergence of sequences, Analysis, 8(1988), 47-63.
- [18] Salat T., On statistically convergent sequences of real numbers, Math. Slovaca, 30(1980), 139-150.
- [19] Mursaleen, λ-statistical convergence, Math. Slovaca, 50(1)(2000), 111-115.
- [20] Et M., Nuray F., Δm-statistical convergence, Indian J. Pure Appl. Math., 32(6)(2001), 961-969.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPP2-0014-0037