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On Some Difference Sequence Set and Their Topological Properties

Colak, Rifat, and Et, Mikâil, (2005) On Some Difference Sequence Set and Their Topological Properties. Bulletin of the Malaysian Mathematical Sciences Society, 28 (2). pp. 125-130. ISSN 0126-6705

Full text not available from this repository.

Official URL: http://math.usm.my/bulletin/pdf/v28n2/v28n2p3.pdf

Affiliations

Firat University, Dept. of Mathematics

Abstract

The idea of difference sequence sets, $X(\Delta )=\{ x =(x_{k}):\Delta x \in X\}$, where $X=\ell_\infty$, $c$ and $c_0$ was introduced by Kizmaz [4], and then this subject has been studied and generalized by various mathematicians. In this study, we define a new sequence space denoted by $m(\phi ,p)(\Delta^r)$ and give some properties of this sequence space. The obtained results generalize some known results.

Item Type:Journal
Keywords:difference sequence, solid space, symmetric space.
Subjects:Q Science, Computer Science
ID Code:1404

[1] R. Colak and M. Et, On some generalized difference sequence spaces and related matrix transformations, Hokkaido Math. J. 26(3) (1997), 483—492.

[2] M. Et and M. Basarir, On some new generalized difference sequence spaces, Period. Math. Hungar. 35(3) (1997), 169—175.

[3] M. Et and R. Colak, On some generalized difference sequence spaces, Soochow J. Math. 21(4) (1995), 377—386.

[4] H. Kizmaz, On certain sequence spaces, Canad. Math. Bull. 24(2) (1981), 169—176.

[5] E. Malkowsky and Mursaleen, Matrix transformations between FK-spaces and the sequence spaces m(ϕ) and n(ϕ), J. Math. Anal. Appl. 196(2) (1995), 659—665.

[6] E. Malkowsky and S. D. Parashar, Matrix transformations in spaces of bounded and convergent difference sequences of order m, Analysis 17(1) (1997), 87—97.

[7] Mursaleen, Generalized spaces of difference sequences, J. Math. Anal. Appl. 203(3) (1996), 738—745.

[8] W. L. C. Sargent, Some sequence spaces related to the l^p spaces, J. London Math. Soc. 35 (1960), 161—171.

[9] B. C. Tripathy, On a class of difference sequences related to the p-normed space l^p, Demonstratio Math. 36(4) (2003), 867—872.

[10] B. C. Tripathy and M. Sen, On a new class of sequences related to the space l^p, Tamkang J. Math. 33(2) (2002), 167—171.

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