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Comonotone approximation by splines of piecewise monotone functions

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Publication:1173225
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DOI10.1016/0021-9045(82)90024-7zbMath0503.41012OpenAlexW1987434659MaRDI QIDQ1173225

Dany Leviatan, Hrushikesh N. Mhaskar

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-9045(82)90024-7


zbMATH Keywords

turning pointscomonotone approximationJackson rate


Mathematics Subject Classification ID

Approximation with constraints (41A29) Rate of convergence, degree of approximation (41A25) Spline approximation (41A15)


Related Items (2)

Weighted polynomials, radial basis functions and potentials on locally compact spaces ⋮ Shape preserving approximations by polynomials and splines



Cites Work

  • Efficient co-monotone approximation
  • Exact estimates for partially monotone approximation
  • The Rate of Monotone Spline Approximation in the $L_p $-Norm
  • Degree of $L_p$ Approximation by Monotone Splines
  • Convex Approximation by Splines
  • Restricted Range Approximation by Splines and Variational Inequalities
  • Monotone Approximation by Splines


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