Piecewise Monotone Polynomial Approximation

DOI10.2307/1996363zbMath0272.41008OpenAlexW4252722552MaRDI QIDQ5179893

Eli Passow, Louis Raymon, Donald J. Newman

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/1996363

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)

Related Items (13)

Efficient co-monotone approximation ⋮ Exact estimates for monotone interpolation ⋮ Monotone and Comonotone Approximation ⋮ Exact estimates for partially monotone approximation ⋮ Jackson's theorem in \(L^ p\), \(0<p<1\), for algebraic polynomials, and orders of comonotone approximations ⋮ Copositive polynomial approximation ⋮ Best Comonotone Approximation ⋮ The degree of copositive approximation ⋮ Nearly coconvex approximation of order k ⋮ Nearly Comonotone Approximation ⋮ Comonotone approximation and interpolation by entire functions ⋮ Comonotone polynomial approximation ⋮ Restricted approximation and interpolation

Cites Work

• Unnamed Item
• Monotone approximation
• Monotono approximation of certain classes of functions
• Degree of approximation by monotone polynomials. I
• Another proof of Jackson's theorem
• Piecewise monotone polynomial interpolation
• Sur un polynôme d'interpolation

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