Pointwise and uniform estimates for convex approximation of functions by algebraic polynomials
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Publication:1330853
DOI10.1007/BF01263061zbMath0799.41008MaRDI QIDQ1330853
Publication date: 10 August 1994
Published in: Constructive Approximation (Search for Journal in Brave)
Approximation with constraints (41A29) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)
Related Items (18)
Coconvex polynomial approximation ⋮ Shape-preserving approximation in \(L_ p\) ⋮ Polynomial approximation with doubling weights ⋮ Simultaneous approximation by algebraic polynomials ⋮ Convex polynomial and spline approximation in \(L_ p, 0<p<\infty\) ⋮ Interpolatory estimates for convex piecewise polynomial approximation ⋮ On 3-monotone approximation by piecewise polynomials ⋮ Pointwise estimates for 3-monotone approximation ⋮ Comonotone approximation with interpolation at the ends on an interval ⋮ Interpolatory pointwise estimates for convex polynomial approximation ⋮ Degree of simultaneous coconvex polynomial approximation ⋮ Weak copositive and interwining approximation ⋮ On equivalence of moduli of smoothness ⋮ Nearly monotone and nearly convex approximation by smooth splines in \(\mathbb L_p, p>0\) ⋮ Shape-preserving approximation by polynomials ⋮ Univariate splines: Equivalence of moduli of smoothness and applications ⋮ Comonotone Jackson's inequality ⋮ Interpolated estimate for copositive approximations by algebraic polynomials
Cites Work
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- Pointwise estimates for monotone polynomial approximation
- Uniform estimates of the coconvex approximation of functions by polynomials
- Orders of coapproximation of functions by algebraic polynomials
- APPROXIMATION OF MONOTONE FUNCTIONS BY MONOTONE POLYNOMIALS
- Pointwise Estimates for Convex Polynomial Approximation
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