关于Lebesgue可和性与其它求和方法的关系
On the relation between Lebesgue summability and some other summation methods
摘要：
证明了如果$$ \sum_{n=1}^{N}n\left|c_{n}\right|=O(N), $$，则级数$\sum_{n=0}^{\infty}c_{n}$的Lebesgue可和性、$(\mathrm{C},β)$可和性（$β>0$）、Abel可和性、Riemann可和性和$(γ,κ)$可和性（$κ\geq 1$）都是等价的.
英文摘要：
It is shown that if $$ \sum_{n=1}^{N}n\left|c_{n}\right|=O(N), $$ then Lebesgue summability, $(\mathrm{C},β)$ summability ($β>0$), Abel summability, Riemann summability, and $(γ,κ)$ summability ($κ\geq 1$) of the series $\sum_{n=0}^{\infty}c_{n}$ are all equivalent to one another.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
