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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 Baskakov operator ： ウィキペディア英語版 Baskakov operator In functional analysis, a branch of mathematics, the Baskakov operators are generalizations of Bernstein polynomials, Szász–Mirakyan operators, and Lupas operators. They are defined by :$()(x)\; =\; \backslash sum\_^\backslash infty\; \backslash phi\_n^(x)\; f\backslash left(\backslash frac\backslash right)\}$ where $x\backslash in$. Alternatively, $\backslash phi\_n$ has a Taylor series on $[0,b)$. #$\backslash phi\_n(0)\; =\; 1$ #$\backslash phi\_n$ is completely monotone, i.e. $(-1)^k\backslash phi\_n^\backslash geq\; 0$. #There is an integer $c$ such that $\backslash phi\_n^\; =\; -n\backslash phi\_^$ whenever $n>\backslash max\backslash$ They are named after V. A. Baskakov, who studied their convergence to bounded, continuous functions. ==Basic results== The Baskakov operators are linear and positive. 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「Baskakov operator」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.