(adsbygoogle = window.adsbygoogle || []).push({}); integral more general than the Lebesgue integral?

The Lebesgue integral is defined for measurable functions. But isn't it possible to define a more general integral defined for a larger class of functions?

I guess that we would then loose some of the fine properties of the Lebesgue integral - but which and why?

**Physics Forums | Science Articles, Homework Help, Discussion**

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!

# Integral more general then Lebesgue integral?

Loading...

Similar Threads for Integral more general |
---|

I How to derive this log related integration formula? |

I An integration Solution |

B I Feel Weird Using Integral Tables |

B Methods of integration: direct and indirect substitution |

A Getting a finite result from a non-converging integral |

**Physics Forums | Science Articles, Homework Help, Discussion**