An alternative proof of the generalized Littlewood Tauberian theorem for Cesàro
summable double sequences
G. Findik, İ. Çanak, Ü. Totur
In this paper, we first examine the relationships between a double sequence and its arithmetic means in different senses
(i. e. $(C,1,0)$, $(C,0,1)$ and $(C,1,1)$ means) in terms of slow oscillation in certain senses and investigate some
properties of oscillatory behaviors of the difference sequence between the double sequence and its arithmetic means in different senses.
Next, we give an alternative proof of the generalized Littlewood Tauberian theorem for
Cesàro summability method as an application of the results obtained in the first part.
