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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 Bernstein's constant ： ウィキペディア英語版 Bernstein's constant }}}} |} Bernstein's constant, usually denoted by the Greek letter β (beta), is a mathematical constant named after Sergei Natanovich Bernstein and is approximately equal to 0.2801694990. == Definition == Let ''E''''n''(ƒ) be the error of the best uniform approximation to a real function ''ƒ''(''x'') on the interval () by real polynomials of no more than degree ''n''. In the case of ''ƒ''(''x'') = |''x''|, showed that the limit :$\backslash beta=\backslash lim\_2nE\_(f),\backslash ,$ called Bernstein's constant, exists and is between 0.278 and 0.286. His conjecture that the limit is: :$\backslash frac\; \{2\backslash sqrt\; \{\backslash pi\}\}=0.28209\backslash dots\backslash ,.$ was disproven by , who calculated :$\backslash beta=0.280169499023\backslash dots\backslash ,.$ 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「Bernstein's constant」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.