The Degree of Piecewise Monotone Interpolation
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Publication:4054157
DOI10.2307/2040274zbMath0299.41010OpenAlexW4249210541MaRDI QIDQ4054157
Publication date: 1975
Full work available at URL: https://doi.org/10.2307/2040274
Interpolation in approximation theory (41A05) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)
Related Items (9)
Algorithms for Computing Shape Preserving Spline Interpolations to Data ⋮ A method for computing the tension parameters in convexitity-preserving spline-in-tension interpolation ⋮ Shape preserving approximations by polynomials and splines ⋮ Exact estimates for monotone interpolation ⋮ Interpolatory pointwise estimates for monotone polynomial approximation ⋮ Analytic monotone pseudospectral interpolation ⋮ An improved estimate of the degree of monotone interpolation ⋮ Interpolation and approximation from convex sets. II: Infinite-dimensional interpolation ⋮ Piecewise Monotone Interpolation and Approximation with Muntz Polynomials
Cites Work
- Comonotone polynomial approximation
- On interpolation and approximation by polynomials with monotone derivatives
- Degree of approximation by monotone polynomials. I
- On polynomial \(\delta\)-type functions and approximation by monotonic polynomials
- Monotone and Comonotone Approximation
- Polynomial Approximations to Finitely Oscillating Functions
- Piecewise monotone polynomial interpolation
- Sur un polynôme d'interpolation
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