Hi all,(adsbygoogle = window.adsbygoogle || []).push({});

I would like to ask for the geometric interpretation of the riemann-stieltjies integral.

Suppose we have an integral, (integrate f dg) over the interval [a,b], where g is monotonically increasing.

Can i interpret it as the area between f and the g function?

Moreover, i am a little confused on what do they mean when they say f is integrable with respect to the g function. E.g. (integrate f dg). Do they treat g(x) as a function, g(x)= y and then (integrate f (y) dy) ?

**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!

# Riemann-Stieltjes Integral geometric intepretation

Loading...

Similar Threads for Riemann Stieltjes Integral |
---|

I How to derive this log related integration formula? |

I An integration Solution |

B I Feel Weird Using Integral Tables |

I Video (analytic continuation) seems to mix 4-D & 2-D maps |

I N-th dimensional Riemann integral |

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