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Journal of Zhejiang University SCIENCE A 2006 Vol.7 No.12 P.2093-2096

http://doi.org/10.1631/jzus.2006.A2093


On some difference sequence spaces defined by a sequence of Orlicz functions


Author(s):  ASMA BEKTAŞ, Ç,iğ,dem

Affiliation(s):  Department of Mathematics, Firat University, Elazig 23119, Turkey

Corresponding email(s):   cbektas@firat.edu.tr, cigdemas78@hotmail.com

Key Words:  Difference sequence, Orlicz function, Sequence of Orlicz functions, Strongly almost convergent


ASMA BEKTAŞ Çiğdem. On some difference sequence spaces defined by a sequence of Orlicz functions[J]. Journal of Zhejiang University Science A, 2006, 7(12): 2093-2096.

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Abstract: 
The idea of difference sequence spaces was introduced in (Kızmaz, 1981) and this concept was generalized in (Et and Çolak, 1995). In this paper we define some difference sequence spaces by a sequence of orlicz functions and establish some inclusion relations.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[1] Et, M., Çolak, R., 1995. On some generalized difference sequence spaces. Soochow J. of Math., 21(4):377-386.

[2] Güngör, M., Et, M., 2003. (r-strongly almost summable sequences defined by Orlicz functions. Indian J. Pure Appl. Math., 34(8):1141-1151.

[3] Kızmaz, H., 1981. On certain sequence spaces. Canad. Math. Bull., 24(2):169-176.

[4] Lindenstrauss, J., Tzafriri, L., 1971. On Orlicz sequence spaces. Israel J. Math., 10:379-390.

[5] Lorentz, G.G., 1948. A contribution to the theory of divergent sequences. Acta Mathematica, 80(1):167-190.

[6] Maddox, I.J., 1967. Spaces of strongly summable sequences. Quart. J. Math., 18:345-355.

[7] Maddox, I.J., 1978. A new type of convergence. Math. Proc. Camb. Phil. Soc., 83:61-64.

[8] Mursaleen, Mushir, Qamaruddin, 2001. Some difference sequence spaces defined by Orlicz functions. Matimyas Matematica, 24(1):42-47.

[9] Nanda, S., 1984. Strongly almost convergent sequences. Bull. Cal. Math. Soc., 76:236-240.

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