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Direct and inverse results in Hölder norms

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Publication:818464
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DOI10.1016/J.JAT.2005.10.004zbMath1115.41004OpenAlexW1989800109MaRDI QIDQ818464

Cuauhtemoc Castañeda Roldan, Jorge Bustamante González

Publication date: 20 March 2006

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2005.10.004


zbMATH Keywords

Hölder normApproximation by linear operatorBest approximation


Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Approximation by polynomials (41A10)


Related Items (4)

Seminormed approximation by deferred matrix means of integrable functions in \(H_P^{(\omega)}\) space ⋮ Sharp estimates of approximation of periodic functions in Hölder spaces ⋮ Simultaneous approximation by Bernstein operators in Hölder norms ⋮ On approximation of functions by algebraic polynomials in Hölder spaces




Cites Work

  • An improvement of Kalandiya's theorem
  • On the fundamental approximation theorems of D. Jackson, S.N. Bernstein and theorems of M. Zamansky and S.B. Stechkin
  • On the Hölder semi-norm of the remainder in polynomial approximation
  • Strong converse inequalities
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