Shape-preserving approximation by polynomials
From MaRDI portal
Publication:1587395
DOI10.1016/S0377-0427(00)00338-1zbMath0969.41007MaRDI QIDQ1587395
Publication date: 20 November 2000
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Approximation by polynomials (41A10) Research exposition (monographs, survey articles) pertaining to approximations and expansions (41-02)
Related Items (10)
Coconvex polynomial approximation ⋮ Strong convergence of a linearization method for semi-linear elliptic equations with variable scaled production ⋮ Weighted approximation of r-monotone functions on the real line by Bernstein operators ⋮ Pointwise copositive polynomial approximation on arcs in the complex plane ⋮ Korovkin-type theorem for sequences of operators preserving shape ⋮ A moment problem for discrete nonpositive measures on a finite interval ⋮ Comonotone approximation with interpolation at the ends on an interval ⋮ Shape preserving approximation on the real line with exponential weights ⋮ The degree of shape preserving weighted polynomial approximation ⋮ Coconvex approximation.
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Pointwise estimates for monotone polynomial approximation
- Polynomial approximation in \(L_ p (O<p<1)\)
- Piecewise monotone pointwise approximation
- Degree of simultaneous coconvex polynomial approximation
- Nearly comonotone approximation
- Comonotone polynomial approximation in \(L_p[-1,1, 0<p\leq\infty\)]
- Weak copositive and interwining approximation
- Convex polynomial and spline approximation in \(C[-1,1\)]
- Pointwise and uniform estimates for convex approximation of functions by algebraic polynomials
- Uniform estimates for monotonic polynomial approximation
- Uniform estimates of monotone and convex approximation of smooth functions
- Some positive results and counterexamples in comonotone approximation
- Pointwise estimation of comonotone approximation
- More on comonotone polynomial approximation
- Interpolatory pointwise estimates for polynomial approximation
- A counterexample in copositive approximation
- Some positive results and counterexamples in comonotone approximation. II
- Coconvex polynomial approximation of twice differentiable functions
- On copositive approximation by algebraic polynomials
- Convex polynomial and spline approximation in \(L_ p, 0<p<\infty\)
- One example in monotone approximation
- Copositive pointwise approximation
- APPROXIMATION OF MONOTONE FUNCTIONS BY MONOTONE POLYNOMIALS
- The degree of coconvex polynomial approximation
- ON COMONOTONE APPROXIMATION BY POLYNOMIALS IN Lp SPACE
- A counterexample in comonotone approximation in $L^p$ space
- Constrained Approximation in Sobolev Spaces
- The Degree of Copositive Approximation and a Computer Algorithm
This page was built for publication: Shape-preserving approximation by polynomials