Piecewise monotone pointwise approximation

DOI10.1007/S003659900077zbMath0912.41007OpenAlexW2056791525MaRDI QIDQ1265168

I. A. Shevchuk, Jacek Gilewicz, G. A. Dzyubenko

Publication date: 16 May 1999

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s003659900077

zbMATH Keywords

piecewise monotone functionscomonotone approximation by polynomialspointwise rate of approximation

Mathematics Subject Classification ID

Approximation with constraints (41A29) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)

Related Items (16)

Copositive approximation of periodic functions ⋮ Shape preserving approximations by polynomials and splines ⋮ Stechkin-type estimate for nearly copositive approximations of periodic functions ⋮ Copositive pointwise approximation ⋮ Pointwise estimation of the almost copositive approximation of continuous functions by algebraic polynomials ⋮ Comonotone approximation of periodic functions ⋮ Comonotone approximation of periodic functions ⋮ Comonotone approximation with interpolation at the ends on an interval ⋮ Negative results in coconvex approximation of periodic functions ⋮ Almost coconvex approximation of continuous periodic functions ⋮ Nearly comonotone approximation ⋮ Piecewise coapproximation and the Whitney inequality. ⋮ Shape-preserving approximation by polynomials ⋮ Comonotone Jackson's inequality ⋮ Interpolated estimate for copositive approximations by algebraic polynomials ⋮ Coconvex approximation.

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