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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 equioscillation theorem ： ウィキペディア英語版 equioscillation theorem The equioscillation theorem concerns the approximation of continuous functions using polynomials when the merit function is the maximum difference (uniform norm). Its discovery is attributed to Chebyshev. == Statement == Let $f$ be a continuous function from $()$ to $\backslash mathbf$. Among all the polynomials of degree $\backslash le\; n$, the polynomial $g$ minimizes the uniform norm of the difference $||\; f\; -\; g\; ||\; \_\backslash infty$ if and only if there are $n+2$ points such that $f(x\_i)\; -\; g(x\_i)\; =\; \backslash sigma\; (-1)^i\; ||\; f\; -\; g\; ||\; \_\backslash infty$ where $\backslash sigma\; =\; \backslash pm\; 1$. 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「equioscillation theorem」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.