翻訳と辞書 Words near each other ・ Harekala Hajabba ・ Harekrishna Deka ・ Harekrushna Mahatab ・ Harel ・ Harel Brigade ・ Harel Group ・ Harel Levy ・ Harel Locker ・ Harel Mallac Group ・ Harel Moyal ・ Hardyville, Virginia ・ Hardywood Park Craft Brewery ・ Hardy–Littlewood circle method ・ Hardy–Littlewood inequality ・ Hardy–Littlewood maximal function ・ Hardy–Littlewood tauberian theorem ・ Hardy–Littlewood zeta-function conjectures ・ Hardy–Ramanujan Journal ・ Hardy–Ramanujan theorem ・ Hardy–Weinberg principle ・ Hardzei Tsishchanka ・ Hard–easy effect ・ Hare ・ Hare & Hare ・ Hare (computer virus) ・ Hare (disambiguation) ・ Hare (hieroglyph) ・ Hare (MCC cricketer) ・ Hare (surname) ・ Hare Ame Nochi Suki 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 Hardy–Littlewood tauberian theorem ： ウィキペディア英語版 Hardy–Littlewood tauberian theorem In mathematical analysis, the Hardy–Littlewood tauberian theorem is a tauberian theorem relating the asymptotics of the partial sums of a series with the asymptotics of its Abel summation. In this form, the theorem asserts that if, as ''y'' ↓ 0, the non-negative sequence ''a''''n'' is such that there is an asymptotic equivalence :$\backslash sum\_^\backslash infty\; a\_n\; e^\; \backslash sim\; \backslash frac$ then there is also an asymptotic equivalence :$\backslash sum\_^n\; a\_k\; \backslash sim\; n$ as ''n'' → ∞. The integral formulation of the theorem relates in an analogous manner the asymptotics of the cumulative distribution function of a function with the asymptotics of its Laplace transform. The theorem was proved in 1914 by G. H. Hardy and J. E. Littlewood.〔 〕 In 1930 Jovan Karamata gave a new and much simpler proof.〔 ==Statement of the theorem== 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「Hardy–Littlewood tauberian 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.