Fractional order generali̇zed paranormed Riesz difference sequence spaces

This study consists of five sections. The first section is the introduction and literature information about our thesis is given. The second section includes the basic definitions and theorems we used in our thesis. The third section provides general information about sequence spaces and Riesz sequence spaces. Then, in this section, some topological structures of Riesz sequence spaces defined with the help of moduli function sequences are examined. Some theorems related to the new Riesz sequence spaces we obtained by generalized sequence spaces are stated and proved. The coverage relations of Riesz sequence spaces are examined. Some topological properties of Riesz sequence spaces are examined. In the fourth section, general information about generalized difference sequence spaces and Riesz difference sequence spaces is given. In addition, some topological structures of Riesz difference sequence spaces are examined. Then, the Schauder base of these spaces is defined. In the fifth section, general information about fractional difference and fractional Riesz difference sequence spaces is given. Then, the topological properties of these spaces are examined. In addition, the duals of fractional Riesz difference sequence spaces are examined and some matrix transformations are given.