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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 Lethargy theorem ： ウィキペディア英語版 Lethargy theorem In mathematics, a lethargy theorem is a statement about the distance of points in a metric space from members of a sequence of subspaces; one application in numerical analysis is to approximation theory, where such theorems quantify the difficulty of approximating general functions by functions of special form, such as polynomials. In more recent work, the convergence of a sequence of operators is studied: these operators generalise the projections of the earlier work. ==Bernstein's lethargy theorem== Let $V\_1\; \backslash subset\; V\_2\; \backslash subset\; \backslash ldots$ be a strictly ascending sequence of finite-dimensional linear subspaces of a Banach space ''X'', and let $\backslash epsilon\_1\; \backslash ge\; \backslash epsilon\_2\; \backslash ge\; \backslash ldots$ be a decreasing sequence of real numbers tending to zero. Then there exists a point ''x'' in ''X'' such that the distance of ''x'' to ''V''''i'' is exactly $\backslash epsilon\_i$. 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「Lethargy 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.