e/Abel's uniform convergence test

Information
has gloss	eng: In classical mathematical analysis, Abels uniform convergence test, one of many things named after Niels Henrik Abel, is a criterion for the uniform convergence of a series of functions. It is related to Abels test for the convergence of an ordinary series of real numbers, and the proof relies on the same technique of summation by parts.
lexicalization	eng: Abel's uniform convergence test
instance of	e/Convergence tests