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 Pconvergent sequences defined by sequence of moduli and give inclusion relations on these
sequence spaces.
