Let
be a Series of functions all defined for a set of values of . If there is a
Convergent series of constants

such that

for all , then the series exhibits Absolute Convergence for each as well as Uniform Convergence in .

**References**

Arfken, G. *Mathematical Methods for Physicists, 3rd ed.* Orlando, FL: Academic Press, pp. 301-303, 1985.

© 1996-9

1999-05-26