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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, : If the limit : 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）』 ■ウィキペディアで「slowly varying function」の詳細全文を読む スポンサード リンク
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