ON SUMMING SEQUENCE SPACES.

In this paper, keeping in view the idea of difference sequence space E(Δ) of Kızmaz [20], we availed an opportunity to introduce new kind of summing squence spaces E(∇), E ∊ {l∞,c,c₀} by exploring the sum of two consecutive terms. In addition to this we computed the continuous as well Köthe-Toeplitz duals of these spaces. Like E(Δ) (the difference sequence spaces of Kızmaz) new sequence spaces E(∇) turned out to be much wider than E. [ABSTRACT FROM AUTHOR]