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Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.

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Uniform continuity and boundedness [closed]

Hi. I have come across a proof which I understand almost completely, except for one part: THEOREM: If $f$ is uniformly continuous on a bounded interval $I, [a,b]$ then $f$ is also bounded on $I$. …
krje1980's user avatar