It's not integration, but a method of doing this  by   parts  is often also named for Abel.
The Eilenburg-Mazur swindle involves the misapplication of one form of this process which takes a limit of arithmetic means. One formula for doing this is co-named for Plana and is related to one named for Lambert. Watson's theorem and Carleman's theorem guarantee the optimality of one method of doing this which has exponential and integral types and is named for Borel. It's not integration, but a method of doing this  by   parts  is often also named for Abel. A notational convention in physics for writing this process is named for Einstein. Cesaro and Euler name types of, for ten points, what sort of process which involves  nding the limit of a series?
The Eilenburg-Mazur swindle involves the misapplication of one form of this process which takes a limit of arithmetic means.
summation [accept descriptive answers, prompt on taking limits]