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An Inequality of Uniformly Continuous Functions in Normed Spaces

Functional Analysis 2012-05-28 v1

Abstract

We obtain an interesting inequalities for uniformly continuous functions in the normed spaces: f(x)ax+b\|f(x)\|\leq a\|x\|+b for some a,b>0a,b> 0.

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Cite

@article{arxiv.1205.5633,
  title  = {An Inequality of Uniformly Continuous Functions in Normed Spaces},
  author = {Mehdi Asadi},
  journal= {arXiv preprint arXiv:1205.5633},
  year   = {2012}
}

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2 pages