Pascal sequence spaces and weighted averages

This thesis consists of four chapters. In the first chapter, basic definitions and theorems about Pascal sequence spaces are given. In the second part, it was shown that the Pascal sequence l_∞,c and c_0 sequence spaces are isomorphic to the p_∞,p_c and p_0 sequence spaces, respectively, under the p-transformation. In the third part,α-,β- and γ- duals of Pascal sequence spaces were calculated. In the fourth chapter, the matrix transformation from Pascal sequence spaces to some known spaces was characterized. The weighted averages of the Pascal sequence space were also defined.