| On quasi almost lacunary strong convergence difference sequence spaces defined by a sequence of moduli |
| Vakeel A. Khan and Q. M. Danish Lohani |
Abstract The idea of difference sequence sets, $X(\triangle)=\{\,x=(x_k):\triangle x\in X\,\}$, where $X=l_\infty$, $c$ or $c_0$ was introduced by Kizmaz [3], and then this subject has been studied and generalized by various mathematicians. In this article we define quasi almost $\triangle^m$-Lacunary strongly P-convergent sequences defined by sequence of moduli and give inclusion relations on these sequence spaces.
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Keywords: Difference sequence; lacunary sequence; sequence of moduli; double sequence. |
MSC: 40C05, 42B15 |
Pages: 95$-$100 |
Volume 60 , Issue 2 , 2008 |
