An inclusion theorem for double Cesàro matrices over the space of absolutely kk-convergent double series

In this work it is shown that if C(α,β)C(α,β) and C(γ,δ)C(γ,δ) are double Cesàro matrices with α≥γ>−1,β≥δ>−1α≥γ>−1,β≥δ>−1, then any double series that is ∣C(γ,δ)∣k∣C(γ,δ)∣k-summable is also ∣C(α,β)∣k∣C(α,β)∣k-summable, k≥1k≥1.