MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
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