let f is a continuous, real-valued function on [a,b](adsbygoogle = window.adsbygoogle || []).push({});

then, for any e, there exist a polygonal function p such that

sup|f(x)-p(x)|<e

using uniform convergence, this might be shown... but i cannot figure it out...

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Uniform convergence problem

Loading...

Similar Threads - Uniform convergence problem | Date |
---|---|

Proof uniform convergence -> continuity: Why use hyperhyperreals? | Feb 15, 2014 |

Uniform convergence and derivatives question | Jun 22, 2012 |

Question on uniform convergence | Nov 10, 2011 |

Uniform Convergence of nx/nx+1 | Oct 24, 2011 |

Uniform convergence | Aug 27, 2011 |

**Physics Forums - The Fusion of Science and Community**