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

Abstract

The idea of difference sequence sets,$X(\mathrm{△})=\{x=(x_k):\mathrm{△}xınX\}$, where $X=l_{ı}nfty$, $c$ or $c_0$ was introduced by Kizmaz [3], and thenthis subject has been studied and generalized by various mathematicians. In this article we define quasi almost${\mathrm{△}}^m$-Lacunary strongly P-convergent sequences defined by sequence of moduli and give inclusion relations on thesesequence spaces.