Monotone and comonotone polynomial approximation revisited

DOI10.1016/0021-9045(88)90071-8zbMath0697.41001OpenAlexW2055674814MaRDI QIDQ910985

Dany Leviatan

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-9045(88)90071-8

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation with constraints (41A29) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)

Related Items (17)

Strong convergence of a linearization method for semi-linear elliptic equations with variable scaled production ⋮ Uniform estimates for monotone approximation ⋮ Positive results and counterexamples in comonotone approximation. II. ⋮ Some positive results and counterexamples in comonotone approximation ⋮ Pointwise Estimates for Convex Polynomial Approximation ⋮ On copositive approximation by algebraic polynomials ⋮ Approximation by shape preserving fractal functions with variable scalings ⋮ Shape-preserving polynomial approximation in C[– 1, 1] ⋮ Polynomial approximation in \(L_ p (O<p<1)\) ⋮ On a counterexample in monotone approximation ⋮ Bivariate Monotone Approximation ⋮ On Müntz rational approximation ⋮ On moduli of smoothness ofk-monotone functions and applications ⋮ Pointwise estimation of comonotone approximation ⋮ Comonotone Jackson's inequality ⋮ Convex polynomial and spline approximation in \(C[-1,1\)] ⋮ A counterexample on monotone Müntz approximation

Cites Work

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• Polynomials of best approximation in C[-1,1]
• Pointwise estimates for monotone polynomial approximation
• Efficient co-monotone approximation
• Exact estimates for partially monotone approximation
• On interpolation of L//p[a,b and weighted Sobolev spaces]
• Degree of approximation by monotone polynomials. I
• The Degree of Copositive Approximation by Polynomials
• On Comonotone Approximation
• Monotone Approximation by Polynomials

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