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<図書>
Classification and approximation of periodic functions

責任表示 by Alexander I. Stepanets
シリーズ Mathematics and its applications ; v. 333
データ種別 図書
出版者 Dordrecht ; Boston : Kluwer Academic Publishers
出版年 c1995
本文言語 英語
大きさ x, 360 p. ; 25 cm
概要 This monograph proposes a new classification of periodic functions, based on the concept of generalized derivative, defined by introducing multiplicators and shifts of the argument into the Fourier s...ries of the original function. This approach permits the classification of a wide range of functions, including those of which the Fourier series may diverge in integral metric, smooth functions, and infinitely differentiable functions, including analytical and entire ones. These newly introduced classes are then investigated using the traditional problems of the theory of approximation. The results thus obtained offer a new way to look at classical statements for the approximation of differentiable functions, and suggest possibilities to discover new effects. Audience: valuable reading for experts in the field of mathematical analysis and researchers and graduate students interested in the applications of the theory of approximation and Fourier series. 続きを見る

所蔵情報


理系図3F 数理独自 068222195013200 STEP/5/1 1995

芸工2階 072032195004952 413.5/St5 1995

書誌詳細

別書名 原タイトル:Klassifikat︠s︡ii︠a︡ i priblizhenie periodicheskikh funkt︠s︡iĭ
一般注記 Includes bibliographical references (p. 351-358) and index
著者標目 *Stepanet︠s︡, A. I. (Aleksandr Ivanovich)
件 名 LCSH:Periodic functions
分 類 LCC:QA353.P4
DC20:515/.253
書誌ID 1000287024
ISBN 0792336038
NCID BA26008395
巻冊次 ISBN:0792336038
登録日 2009.09.11
更新日 2009.11.02

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