On the relation between Lebesgue summability and some other summation methods

Jasson Vindas

It is shown that if $$\sum _{n=1}^{N}n\left|c_n\right|=O(N),$$ then Lebesgue summability, $(\mathrm{C},\beta )$ summability ($\beta >0$), Abel summability, Riemann summability, and $(γ,κ)…