Pointwise Estimates for Convex Polynomial Approximation

DOI10.2307/2046205zbMath0617.41009OpenAlexW4244262289MaRDI QIDQ4726776

Dany Leviatan

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2046205

zbMATH Keywords

convex polynomials

Mathematics Subject Classification ID

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

Related Items (17)

Coconvex polynomial approximation ⋮ Pointwise and uniform estimates for convex approximation of functions by algebraic polynomials ⋮ Shape-preserving approximation in \(L_ p\) ⋮ Uniform and pointwise shape preserving approximation (SPA) by algebraic polynomials: an update ⋮ Interpolatory estimates for convex piecewise polynomial approximation ⋮ Shape-preserving polynomial approximation in C[– 1, 1] ⋮ Calculus of the modulus of continuity for nonconcave functions and applications ⋮ Bivariate Monotone Approximation ⋮ A generalized optimization strategy for dynamic \(CO_ 2\) enrichment in a greenhouse ⋮ Convex polynomial and ridge approximation of Lipschitz functions in \(\mathbb R^d\) ⋮ Positive results and counterexamples in comonotone approximation ⋮ Interpolatory estimates in monotone piecewise polynomial approximation ⋮ Interpolatory estimates in monotone piecewise polynomial approximation ⋮ Interpolatory pointwise estimates for convex polynomial approximation ⋮ Uniform estimates of the coconvex approximation of functions by polynomials ⋮ Shape preserving approximation in vector ordered spaces ⋮ Convex polynomial and spline approximation in \(C[-1,1\)]

Cites Work

• Unnamed Item
• Monotone and comonotone polynomial approximation revisited
• Polynomials of best approximation in C[-1,1]
• Pointwise estimates for monotone polynomial approximation
• On interpolation of L//p[a,b and weighted Sobolev spaces]
• An interpolation theorem and its applications to positive operators
• Degree of approximation by monotone polynomials. I
• Monotone Approximation by Polynomials

This page was built for publication: Pointwise Estimates for Convex Polynomial Approximation