Convergence, Point of

The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

Convergence, Point of

 

A point of convergence of the series of functions

is a point x0 such that the number series

formed from the values of the functions un (x) at x0 is convergent. A point of convergence of a sequence of functions is defined in a similar manner.

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.