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Exact Constants in Approximation Theory by Nikolai Pavlovich Korneichuk, N. Korneichuk, K. Ivanov

Exact Constants in Approximation Theory

by Nikolai Pavlovich Korneichuk , N. Korneichuk , K. Ivanov
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Book cover type: Hardcover
  • ISBN13: 9780521382342
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Publication Date:
  • Pages: 468
  • Original Price: USD 201.0
  • Language: English
  • Edition: N/A
  • Item Weight: 826 grams
  • BISAC Subject(s): Mathematical Analysis

This book is a self-contained introduction to the particular area of approximation theory concerned with exact constants; the results apply mainly to extremal problems in approximation theory, which in turn are closely related to numerical analysis and optimization. The book encompasses a wide range of questions and problems: best approximation by polynomials and splines; linear approximation methods, such as spline-approximation; and optimal reconstruction of functions and linear functionals. Many of the results are based on facts from analysis and function theory, such as duality theory and comparison theorems. Each chapter concludes with commentary, exercises, and extensions of results, and a substantial bibliography is also included.

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