Pointwise Estimates for Convex Polynomial Approximation
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Publication:4726776
DOI10.2307/2046205zbMath0617.41009OpenAlexW4244262289MaRDI QIDQ4726776
Publication date: 1986
Full work available at URL: https://doi.org/10.2307/2046205
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
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- 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
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