Piecewise Monotone Interpolation and Approximation with Muntz Polynomials

DOI10.2307/1997434zbMath0327.41004OpenAlexW4232928200MaRDI QIDQ4092371

Eli Passow, Louis Raymon, Oved Shisha

Publication date: 1976

Full work available at URL: https://doi.org/10.2307/1997434

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Approximation by polynomials (41A10)

Related Items (6)

Approximation by shape preserving fractal functions with variable scalings ⋮ On Müntz rational approximation ⋮ Fractal perturbation preserving fundamental shapes: bounds on the scale factors ⋮ Interpolation and approximation from convex sets. II: Infinite-dimensional interpolation ⋮ Comonotone approximation and interpolation by entire functions ⋮ A counterexample on monotone Müntz approximation

Cites Work

• Unnamed Item
• On the Jackson-Müntz theorem
• Comonotone polynomial approximation
• Monotone approximation
• Monotono approximation of certain classes of functions
• Degree of approximation by monotone polynomials. I
• The Degree of Piecewise Monotone Interpolation
• Monotone and Comonotone Approximation
• Polynomial Approximations to Finitely Oscillating Functions
• Piecewise monotone polynomial interpolation
• Note on Monotone Approximation
• Muntz-Jackson Theorems in L p [0, 1 and C[0, 1]]
• Sur un polynôme d'interpolation

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