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Slowly varying function : ウィキペディア英語版
Slowly varying function
In real analysis, a branch of mathematics, a slowly varying function is a function resembling a function converging at infinity. A regularly varying function resembles a power law function (polynomial) near infinity. Slowly varying and regularly varying functions are important in probability theory.
== Definition ==

A function ''L'': (0,∞) → (0, ∞) is called ''slowly varying'' (at infinity) if for all ''a'' > 0,
:\lim_ \frac=1.
If the limit
: g(a) = \lim_ \frac
is finite but nonzero for every ''a'' > 0, the function ''L'' is called a ''regularly varying function''.
These definitions are due to Jovan Karamata .
Regular variation is the subject of

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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