翻訳と辞書 Words near each other ・ RIFA (manufacturer) ・ Rifa and Southern Region, Bahrain ・ Rifa'a al-Tahtawi ・ Rifa'i ・ Rifaat al-Assad ・ Rifaat Eid ・ Rifaat El-Fanagily ・ Rifaat el-Mahgoub ・ Rifaat Garrana ・ Rifaat Hussain ・ Rifaat Turk ・ Rifabutin ・ Rifaina ・ Rifalazil ・ Rifampicin ・ Riesz mean ・ Riesz potential ・ Riesz rearrangement inequality ・ Riesz representation theorem ・ Riesz sequence ・ Riesz space ・ Riesz theorem ・ Riesz transform ・ Riesz's lemma ・ Riesz–Fischer theorem ・ Riesz–Markov–Kakutani representation theorem ・ Riesz–Thorin theorem ・ Riet ・ Riet River ・ Riet River (Doring) Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Riesz mean ： ウィキペディア英語版 Riesz mean In mathematics, the Riesz mean is a certain mean of the terms in a series. They were introduced by Marcel Riesz in 1911 as an improvement over the Cesàro mean. The Riesz mean should not be confused with the Bochner–Riesz mean or the Strong–Riesz mean. ==Definition== Given a series $\backslash$, the Riesz mean of the series is defined by :$s^\backslash delta(\backslash lambda)\; =$ \sum_ \left(1-\frac\right)^\delta s_n Sometimes, a generalized Riesz mean is defined as :$R\_n\; =\; \backslash frac\; \backslash sum\_^n\; (\backslash lambda\_k-\backslash lambda\_)^\backslash delta\; s\_k$ Here, the $\backslash lambda\_n$ are sequence with $\backslash lambda\_n\backslash to\backslash infty$ and with $\backslash lambda\_/\backslash lambda\_n\backslash to\; 1$ as $n\backslash to\backslash infty$. Other than this, the $\backslash lambda\_n$ are otherwise taken as arbitrary. Riesz means are often used to explore the summability of sequences; typical summability theorems discuss the case of $s\_n\; =\; \backslash sum\_^n\; a\_k$ for some sequence $\backslash$. Typically, a sequence is summable when the limit $\backslash lim\_\; R\_n$ exists, or the limit $\backslash lim\_s^\backslash delta(\backslash lambda)$ exists, although the precise summability theorems in question often impose additional conditions. 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「Riesz mean」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.