Visual references for the Riemann-Stieltjes integral.

Question

I've seen a lot of excellent visual material (gifs, pictures) here, in topics like this, and I used many of them to understand/explain concepts (particularly gifs showing Riemann sums or fourier series), and now I'm looking for material of this kind for the Riemann-Stieltjes integral.

Any kind would be appreciated.

Answer 1

I had the same problem at some point, and I could not find much around. After a bit, I found the following.

• Here you find a mathoverflow question on the very same topic, where you find some explanations and some pictures;

• Also, you should really try to find the article "A Geometric Interpretation of the Riemann-Stieltjes Integral", by Gregory L. Bullock (you find the jstor page of that article in Sahadeo Padhye's answer in the previous link). Actually, if you read it, I am sure you will find everything you need (it is a very nice article).

I hope these references will be helpful.