If, in an interval of 
, 
is uniformly bounded with respect to 
and 
, and 
is a sequence of positive non-increasing quantities tending
to zero, then 
is uniformly convergent in the interval.
Dirichlet-Hardy Test
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References
Jeffreys, H. and Jeffreys, B. S. "Dirichlet-Hardy Test." §1.1155 in Methods of Mathematical Physics, 3rd ed. Cambridge, England: Cambridge University Press, pp. 42-43, 1988.Referenced on Wolfram|Alpha
Dirichlet-Hardy TestCite this as:
Weisstein, Eric W. "Dirichlet-Hardy Test." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Dirichlet-HardyTest.html