论文标题
在$ \ MATHCAL {i} $ - 功能序列和均匀共轭序列的收敛性
On $\mathcal{I}$-convergence of sequences of functions and uniform conjugacy
论文作者
论文摘要
在本文中，我们介绍了$ \ Mathcal {i^*} \ text { - }α$ - 均匀的相等融合和$ \ Mathcal {i^*} \ text { - }α$ - strong均匀均匀的功能序列，然后研究一些函数序列，然后调查一些效果的融合，然后研究美元$ \ MATHCAL {i^*} \ text { - }α$ - 均匀的相等限制和$ \ Mathcal {i^*} \ text { - }α$ -Strong均匀统一功能序列的相等限制，从一类函数函数$φ$中获得。我们还表明，$ \ nathcal {i} $ - 详尽 / $ \ Mathcal {i} $ - 统一和$ \ Mathcal {i} \ text { - }α$ - 功能序列的收敛是在均匀的均匀下保存的
In this paper we introduce the notion of $\mathcal{I^*}\text{-}α$-uniform equal convergence and $\mathcal{I^*}\text{-}α$-strong uniform equal convergence of sequences of functions and then investigate some lattice properties of $Φ^{\mathcal{I^*}\text{-}α\text{-}u.e.}$ and $Φ^{\mathcal{I^*}\text{-}α\text{-}s.u.e.}$, the classes of all functions which are $\mathcal{I^*}\text{-}α$-uniform equal limits and $\mathcal{I^*}\text{-}α$-strong uniform equal limits of sequences of functions respectively obtained from a class of functions $Φ$. We have also shown that $\mathcal{I}$-exhaustiveness, $\mathcal{I}$-uniform and $\mathcal{I}\text{-}α$- convergence of sequences of functions are preserved under uniform conjugacy
