论文标题

关于粗糙的连续性和真实功能的粗糙$ i $续签

On rough continuity and rough $I$-continuity of real functions

论文作者

Banerjee, Amar Kumar, Paul, Anirban

论文摘要

在本文中,我们首先研究了真实变量实际有价值函数的粗略连续性的概念,然后我们讨论了粗糙连续性的一些重要属性。然后,我们研究了真正有价值的功能的粗糙$ i $ continution的想法,并找到了粗糙的$ i $ continuition和粗糙连续性之间的关系。我们还介绍了Rough $(I_1,I_2)$ - 连续性和Rough $ i^*$ - 真实有价值功能的连续性的概念,并在这两种类型的连续性上讨论了一些属性。

In this paper, we have studied first the idea of rough continuity of real valued functions of real variables and then we have discussed some important properties of rough continuity. Then we study the idea of rough $I$-continuity of real valued functions and find the relation between rough $I$-continuity and rough continuity. We also introduce the notion of rough $(I_1, I_2)$-continuity and rough $I^*$-continuity of real valued functions and discuss some properties on this two types on continuity.

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