Let be a Sequence of functions. If
then, for all , the Series Converges Uniformly.
See also Convergence Tests
References
Bromwich, T. J. I'a and MacRobert, T. M. An Introduction to the Theory of Infinite Series, 3rd ed.
New York: Chelsea, p. 59, 1991.
Whittaker, E. T. and Watson, G. N. A Course in Modern Analysis, 4th ed. Cambridge, England: Cambridge
University Press, p. 17, 1990.