It would be helpful if there is a sandwich theorem for lebesgue integreal. Does it exist?(adsbygoogle = window.adsbygoogle || []).push({});

Ie. if fn<=hn<=gn on measure space (X,S,u) and fn and hn are integreable and measurable , then

g must also be in L1.

A related claim is that if fn-> f and hn->h, does gn also necessarily converge to some g?

**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!

# Sandwich theorem for lebesgue integral

Loading...

Similar Threads for Sandwich theorem lebesgue |
---|

I What do Stokes' and Green's theorems represent? |

I Lebesgue Integral of Dirac Delta "function" |

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