Extremal problems and inequalities of Markov-Bernstein type for algebraic polynomial

書誌事項

Extremal problems and inequalities of Markov-Bernstein type for algebraic polynomial

Robert B. Gardner, Narendra K. Govil, Gradimir V. Milovanovic

(Mathematical analysis and its applications)

Academic Press, an imprint of Elsevier, c2022

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内容説明・目次

内容説明

Inequalities for polynomials and their derivatives are very important in many areas of mathematics, as well as in other computational and applied sciences; in particular they play a fundamental role in approximation theory. Here, not only Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials, but also ones for trigonometric polynomials and related functions, are treated in an integrated and comprehensive style in different metrics, both on general classes of polynomials and on important restrictive classes of polynomials. Primarily for graduate and PhD students, this book is useful for any researchers exploring problems which require derivative estimates. It is particularly useful for those studying inverse problems in approximation theory.

目次

1. History and Introduction of Markov and Bernstein Inequalities 2. Bernstein-Type Inequalities for Polynomials with Restricted Zero 3. Bernstein-Type Inequalities in ????????Norm 4. Bernstein-Type Inequalities for Polar Derivatives of Polynomials 5. Bernstein-Type Inequalities for Rational Functions 6. Bernstein-Type Inequalities for Entire Functions of Exponential Type

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詳細情報

  • NII書誌ID(NCID)
    BC13346152
  • ISBN
    • 9780128119884
  • 出版国コード
    uk
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    London
  • ページ数/冊数
    xvii, 424 p.
  • 大きさ
    23 cm
  • 分類
  • 件名
  • 親書誌ID
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