English

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

General Topology 2022-07-04 v1

Abstract

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 II-continuity of real valued functions and find the relation between rough II-continuity and rough continuity. We also introduce the notion of rough (I1,I2)(I_1, I_2)-continuity and rough II^*-continuity of real valued functions and discuss some properties on this two types on continuity.

Cite

@article{arxiv.2207.00542,
  title  = {On rough continuity and rough $I$-continuity of real functions},
  author = {Amar Kumar Banerjee and Anirban Paul},
  journal= {arXiv preprint arXiv:2207.00542},
  year   = {2022}
}

Comments

9 pages. arXiv admin note: text overlap with arXiv:2102.06965

R2 v1 2026-06-24T12:11:25.656Z