Inequalities : theory of majorization and its applications

書誌事項

Inequalities : theory of majorization and its applications

Albert W. Marshall, Ingram Olkin

(Mathematics in science and engineering : a series of monographs and textbooks, v. 143)

Academic Press, 1979

タイトル別名

Majorization and its applications

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注記

Bibliography: p. 531-552

Includes indexes

内容説明・目次

内容説明

Although they play a fundamental role in nearly all branches of mathematics, inequalities are usually obtained by ad hoc methods rather than as consequences of some underlying "theory of inequalities." For certain kinds of inequalities, the notion of majorization leads to such a theory that is sometimes extremely useful and powerful for deriving inequalities. Moreover, the derivation of an inequality by methods of majorization is often very helpful both for providing a deeper understanding and for suggesting natural generalizations.Anyone wishing to employ majorization as a tool in applications can make use of the theorems; for the most part, their statements are easily understood.

目次

Theory of Majorization. Mathematical Applications. Stochastic Applications. Generalizations. Complementary Topics.

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詳細情報

  • NII書誌ID(NCID)
    BA04804819
  • ISBN
    • 0124737501
  • LCCN
    79050218
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    New York
  • ページ数/冊数
    xx, 569 p.
  • 大きさ
    24 cm
  • 分類
  • 件名
  • 親書誌ID
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