翻訳と辞書 Words near each other ・ Retreat River ・ Retreat Rosenwald School ・ Retreat Syndrome ・ Retreat Through the Wet Wasteland ・ Retreat to Montalban ・ Retizafra decussata ・ Retizafra dentilabia ・ Retizafra valae ・ Retizhe Cove ・ Retje ・ Retje nad Trbovljami ・ Retjenu ・ Retjons ・ Retka ・ Retkes convergence criterion ・ Retkes identities ・ Retki ・ Retkinia ・ Retko te viđam sa devojkama ・ Retkocer ・ Retkovci ・ Retkowo ・ Retków ・ Retków mine ・ Retków, Lower Silesian Voivodeship ・ Retków, Masovian Voivodeship ・ Retla ・ Retlaw Enterprises ・ Retlaw, Alberta ・ RETMA tube designation Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Retkes identities ： ウィキペディア英語版 Retkes identities In mathematics, the Retkes Identities, named after Zoltán Retkes, are one of the most efficient applications of the Retkes inequality, when $f(u)=u^$, , and $0\backslash leq\backslash alpha$. In this special setting, one can have for the iterated integrals : $F^(s)=\backslash frac.$ The notation is explained at Hermite–Hadamard inequality. == Particular cases == Since $f$ is strictly convex if $\backslash alpha\; >1$, strictly concave if , linear if $\backslash alpha=0,1$, the following inequalities and identities hold: * * $\backslash alpha=1\backslash quad\backslash quad\backslash quad\backslash quad\backslash sum\_^n\backslash frac=\backslash sum\_^n\; x\_i$ * * $\backslash alpha=0\backslash quad\backslash quad\backslash quad\backslash quad\backslash sum\_^n\backslash frac=1.$ 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「Retkes identities」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.