On generalized difference sequence spaces of defined by Orlicz functions

In this study, which is prepared as six chapters, we define some new generalized difference sequence spaces using Orlicz functions and we examine some properties of these sequence spaces.In the first chapter preliminary informations use given. In the second chapter, we give the fundamental definitions and theorems.In the third chapter, we give the concepts of difference sequences, convex functions, Orlicz function, ?_{M}(p) sequence spaces and modular sequence space and some of their properties.In the fourth chapter, we define the sequence space ?_{M}[\Delta_{v}^{m},p,q,u,w] using a sequence of Orlicz functions \mathcal{M}=(M_{k}) and \Delta_{v}^{m} - generalized difference operator and examine some topological properties of this space.In the fifth chapter, we define the sequence spaces ?_{\lambda}^\mathcal{M}(\Delta^{m}) and ?_\mathcal{N}^{\lambda}(\Delta^{m}) where sequences of Orlicz function \mathcal{M}=(M_{k}) and \mathcal{N}=(N_{k}) such that M_{k} and N_{k} be mutually complementary for each k and examine some topological properties of these spaces.In the sixth chapter, we give the \alpha-, \beta- ve \gamma- duals of the sequence space h(\mathcal{M}) and the \alpha- dual of the sequence spaces ?(\mathcal{M},\lambda) and ?(\mathcal{N},\lambda).