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On best uniform approximation by splines in the presence of restrictions on their derivatives

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Publication:1181613
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DOI10.1007/BF01158262zbMath0798.41002MaRDI QIDQ1181613

Vladislav F. Babenko

Publication date: 27 June 1992

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

\(n\)-widthperiodic splines


Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Spline approximation (41A15) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)


Related Items (5)

Relative widths of Sobolev classes in the uniform and integral metrics ⋮ A complete description of the relative widths of Sobolev classes in the uniform metric ⋮ Relative widths of smooth functions determined by fractional order derivatives ⋮ Relative widths of the function classes \(L_2(T)\) defined by a linear differential operator in \(L_q(T)\) ⋮ The relative \(n\)-widths of Sobolev classes with restrictions



Cites Work

  • Über die beste Annäherung von Funktionen einer gegebenen Funktionenklasse
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