Definition:Uniform Absolute Convergence of Product

Also presented as
The infinite product $\displaystyle \prod_{n \mathop = 1}^\infty f_n$ is uniformly absolutely convergent  the sequence of partial products of $\displaystyle \prod_{n \mathop = 1}^\infty \left({1 + \left\lvert{f_n - 1}\right\rvert}\right)$ is uniformly convergent.

Also see

 * Equivalence of Definitions of Uniform Absolute Convergence of Product
 * Definition:Uniform Convergence of Product
 * Definition:Local Uniform Absolute Convergence of Product
 * Uniformly Absolutely Convergent Product is Uniformly Convergent