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Moduli of smoothness and best approximation of functions with singularities

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Publication:1570065
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DOI10.1016/S0898-1221(00)00142-5zbMath0963.41016MaRDI QIDQ1570065

Michael I. Ganzburg

Publication date: 17 June 2001

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)


zbMATH Keywords

polynomialssingularitybest approximationmoduli of smoothness\(L_p\) space


Mathematics Subject Classification ID

Uniqueness of best approximation (41A52)


Related Items

Exact errors of best approximation for complex-valued periodic functions, Polynomial interpolation, an \(L\)-function, and pointwise approximation of continuous functions



Cites Work

  • Functions of exponential type
  • On the Bernstein conjecture in approximation theory
  • Multidimensional Jackson theorems
  • Best approximation of functions like \(| x|^\lambda\exp (-A| x|^{-a})\)
  • Rational approximation to \(|x|\)
  • On the fundamental approximation theorems of D. Jackson, S.N. Bernstein and theorems of M. Zamansky and S.B. Stechkin
  • Decomposition theorems and approximation by a “floating" system of exponentials
  • Best uniform rational approximation of 𝑥^{𝛼} on [0,1]
  • Power Series with Bounded Coefficients
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