I studied analysis in Japanese textbook Though I know many t

I studied analysis in Japanese textbook. Though I know many theorems in analysis, I don\'t know the names of the theorems in English. The theorem in the following is called \"Koubetusekibun teiri\" in Japanese. If you know the name of the theorem in English, let me know. Note that it is not of Lebesgue integral, but of RIemann integral.

Solution

Riemann dominated uniform convergence theorem