Polynomials of best approximation which are monotone

DOI10.1016/0021-9045(73)90088-9zbMath0271.41019OpenAlexW1966116128MaRDI QIDQ759340

John A. Roulier

Publication date: 1973

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

Full work available at URL: https://doi.org/10.1016/0021-9045(73)90088-9

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by polynomials (41A10)

Related Items (7)

The Remez Exchange Algorithm for Approximation With Linear Restrictions ⋮ Shape preserving approximations by polynomials and splines ⋮ Approximation of functions with a positive derivative ⋮ Exact estimates for partially monotone approximation ⋮ Some remarks on the degree of monotone approximation ⋮ Best approximation to functions with restricted derivatives ⋮ Negative Theorems on Monotone Approximation

Cites Work

• Monotone approximation
• Monotono approximation of certain classes of functions
• Degree of approximation by monotone polynomials. I
• Degree of approximation by monotone polynomials. II
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