Almost and Strongly Almost B(r ̃,s ̃,t ̃,u ̃)- Summable Double Sequences

Abstract

In this paper, we define some new almost and strongly almost convergent double sequence spacesrespectively. Then we study some topological properties and prove some strict inclusion relations. Moreover, we calculate the α−, β bp− and γ−duals of the new spaces. Finally, we state some known lemmas concerning the four-dimensional matrix classes of almost convergent double sequences, then we characterize some new four-dimensional matrix transformations from and into the new sequence spaces B(C f ) and B[C f ]. We conclude the paper with several significant results.