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An alternative proof of the generalized Littlewood Tauberian theorem for Cesàro summable double sequences

An alternative proof of the generalized Littlewood Tauberian theorem for Cesàro summable double sequences

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 …