English

Remarks on Uniformly Symmetrically Continuous Functions

Classical Analysis and ODEs 2016-02-10 v4

Abstract

We give the definition of uniform symmetric continuity for functions defined on a nonempty subset of the real line. Then we investigate the properties of uniformly symmetrically continuous functions and compare them with those of symmetrically continuous functions and uniformly continuous functions. We obtain some characterizations of uniformly symmetrically continuous functions. Several examples are also given.

Keywords

Cite

@article{arxiv.1306.1056,
  title  = {Remarks on Uniformly Symmetrically Continuous Functions},
  author = {Tammatada Khemaratchatakumthorn and Prapanpong Pongsriiam},
  journal= {arXiv preprint arXiv:1306.1056},
  year   = {2016}
}

Comments

Submitted and revised

R2 v1 2026-06-22T00:28:24.058Z