Hello, I have a very strange problem that I don't know if anyone can provide an answer for. If they can thats amazing, but information about what this type of problem is called, and what fields of mathematics are relevant to trying to solve it is equally as useful to me.
So I have a periodic function y, and I want to discretely integrate it such that the distance between successive points of integration increase and / or decrease proportionally to the current total of the integral.
Is it possible to find a relation between the current total of the integral and the distance between sample points that will maximize the integral over an integer number of periods of y? If so how do I systematically find that relation?