An Inequality of Uniformly Continuous Functions in Normed Spaces

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arxiv 1205.5633 v1 pith:5A6Q23WM submitted 2012-05-25 math.FA

Mehdi Asadi This is my paper · ORCID

classification math.FA

keywords continuousfunctionsnormedspacesuniformlyinequalitiesinequalityinteresting

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abstract

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