Ergodic Means of Difference Sequence Spaces

In this paper we construct ergodic means of difference sequence spaces c_0 (∆),c(∆) and l_∞ (∆). We defined this ergodic mean by E_0 (∆),E_c (∆) and E_∞ (∆). We also saw that the defined sets E_0 (∆),E_c (∆) and E_∞ (∆) are also sequence spaces. We calculated the Schauder bases of the sequence spaces . E_c (∆) and E_0 (∆). We calculated the α-,β- and γ- duals of the sequence spaces E_∞(∆),E_c (∆) and E_0 (∆) which are used to characterize matrix transformations between sequence spaces. For the defined sequence spaces, the matrix transformations için (E_c (∆):l_p ),(E_∞ (∆):l_p ),(E_0 (∆):l_p ), (E_c (∆):l_∞ ) and 〖(E〗_c (∆):c) were performed.