Talk:Dirichlet's Test for Uniform Convergence

See MathStackExchange The main idea of the proof is to use the so-called Abel summation trick or summation by parts. The ProofWiki page gives our penultimate estimate. However, phrasing it the way it is done there seems rather misleading to me, so I wouldn't have understood that proof either if I hadn't known about the Abel summation trick beforehand.

This result has been contributed to by a bunch of people who have expanded it from its initial setting in the real number line to something perhaps rather more general than we are able to sustain without considerable further work. Whoever knows what is what, feel free to sort it out. --prime mover (talk) 19:55, 14 November 2022 (UTC)