<図書>
Strong asymptotics for extremal polynomials associated with weights on IR
責任表示 | D.S. Lubinsky, E.B. Saff |
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シリーズ | Lecture notes in mathematics ; 1305 |
データ種別 | 図書 |
出版情報 | Berlin ; Tokyo : Springer-Verlag , c1988 |
本文言語 | 英語 |
大きさ | vii, 153 p. ; 25 cm |
概要 | 0. The results are consequences of a strengthened form of the following assertion: Given 0 , f Lp ( ) and a certain sequence of positive numbers associated with Q(x), there exist polynomials Pn of ...egree at most n, n = 1,2,3..., such that if and only if f(x) = 0 for a.e. ">" 1. Auxiliary results include inequalities for weighted polynomials, and zeros of extremal polynomials. The monograph is fairly self-contained, with proofs involving elementary complex analysis, and the theory of orthogonal and extremal polynomials. It should be of interest to research workers in approximation theory and orthogonal polynomials. 続きを見る |
所蔵情報
状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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理系図3F 数理独自 | SER/LNM/1305 | 1988 |
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068222188005282 |
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理系図 自動書庫 | 410.8/L 493/(1305) | 1988 |
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068582188003076 |
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書誌詳細
一般注記 | Bibliography: p. [146]-150 Includes index |
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著者標目 | *Lubinsky, Doron Shaul, 1955- Saff, Edward B., 1944- |
件 名 | LCSH:Extremal problems (Mathematics) LCSH:Orthogonal polynomials LCSH:Asymptotic expansions |
分 類 | LCC:QA3 LCC:QA331 DC19:510 s DC19:511/.4 |
書誌ID | 1000032618 |
ISBN | 3540189580 |
NCID | BA03486296 |
巻冊次 | : gw ; ISBN:3540189580 ; PRICE:DM28.50 : us ; ISBN:0387189580 |
登録日 | 2009.09.10 |
更新日 | 2017.02.18 |