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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Denjoy–Koksma inequality ： ウィキペディア英語版 Denjoy–Koksma inequality In mathematics, the Denjoy–Koksma inequality, introduced by as a combination of work of Arnaud Denjoy and the Koksma–Hlawka inequality of Jurjen Ferdinand Koksma, is a bound for Weyl sums $\backslash sum\_^f(x+k\backslash omega)$ of functions ''f'' of bounded variation. ==Statement== Suppose that a map ''f'' from the circle ''T'' to itself has irrational rotation number ''α'', and ''p''/''q'' is a rational approximation to ''α'' with ''p'' and ''q'' coprime, |''α'' – ''p''/''q''| < 1/''q''2. Suppose that ''φ'' is a function of bounded variation, and ''μ'' a probability measure on the circle invariant under ''f''. Then : 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「Denjoy–Koksma inequality」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.