Abel's Inequality

Let ${f_n}$ and ${a_n}$ be sequences with for , 2, ..., then

where

$A=max{|a_1|,|a_1+a_2|,...,|a_1+a_2+...+a_m|}.$

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Cite this as:

Weisstein, Eric W. "Abel's Inequality." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/AbelsInequality.html

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