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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 Markov brothers' inequality ： ウィキペディア英語版 Markov brothers' inequality In mathematics, the Markov brothers' inequality is an inequality proved in the 1890s by brothers Andrey Markov and Vladimir Markov, two Russian mathematicians. This inequality bounds the maximum of the derivatives of a polynomial on an interval in terms of the maximum of the polynomial. For ''k'' = 1 it was proved by Andrey Markov, and for ''k'' = 2,3,... by his brother Vladimir Markov.〔 Appeared in German with a foreword by Sergei Bernstein as 〕 ==The statement== Let ''P'' be a polynomial of degree ≤ ''n''. Then : $\backslash max\_\; |P^(x)|\; \backslash leq\; \backslash frac\; \backslash max\_\; |P(x)|.$ Equality is attained for Chebyshev polynomials of the first kind. 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「Markov brothers' 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.