New sequences spaces acquired with the help of generalized difference matrixes

This thesis consists of six parts within scope. In the first part, definition of sequence spaces was included and classical sequence spaces which are frequently found in the literature were mentioned. In the second part, definitions of dual spaces, matrix classes, matrix transformations which can contribute to the solution of the main problems dealt in the theory of sequence spaces and theorems about this topic in the literature were presented. In the third, fourth, fifth and sixth parts, the sequence spaces acquired with the matrix domain under the difference matrixes of sequence spaces, the sequence spaces acquired with the matrix domain of dual band matrix B(r,s), the sequence spaces acquired with the matrix domain of triple band matrix B(r,s,t) and new sequence spaces acquired with the matrix domain of quadruple band matrix Q(r,s,t,u) were respectively defined while dual spaces and matrix transformations of these sequence spaces were included, and the Schauder base of these sequence spaces were found and the duals α-,β- and γ- were determined. Moreover, solutions to the problems dealt in the theory of sequence spaces were searched in the sequence spaces acquired with the matrix domain of the quadruple band matrix. Finally, results concluded with this thesis and the importance of it were mentioned in the seventh part.