On quasi almost lacunary strong convergence difference sequence spaces defined by a sequence of moduli

Vakeel A. Khan, Q. M. Danish Lohani

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.