Am I right in thinking that the statement "f:[a,b]-->R is of bounded variation" is equivalent to the statements "f:[a,b]-->R has bounded range" and "f;[a,b]-->R is a bounded function".(adsbygoogle = window.adsbygoogle || []).push({});

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

Join Physics Forums Today!

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

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

# Bounded variation

Loading...

Similar Threads - Bounded variation | Date |
---|---|

I Upper and lower bounds of integral | Sep 8, 2016 |

I How does one derived the error bound for approximations? | Jun 27, 2016 |

I Regarding Error Bound of Taylor Series | May 17, 2016 |

I Bounded above definition | Apr 10, 2016 |

Variational calculus with bounded derivative constraints | Nov 17, 2007 |

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