Pointwise estimates for monotone polynomial approximation
From MaRDI portal
Publication:1070134
DOI10.1007/BF01890039zbMath0583.41006OpenAlexW2147556870MaRDI QIDQ1070134
Ronald A. DeVore, Xiang Ming Yu
Publication date: 1985
Published in: Constructive Approximation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01890039
degree of approximationpointwise estimatesgeneralized Lipschitz spacesincreasing algebraic polynomialunconstrained polynomial approximation
Approximation with constraints (41A29) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)
Related Items
Pointwise and uniform estimates for convex approximation of functions by algebraic polynomials ⋮ Shape-preserving approximation in \(L_ p\) ⋮ Pointwise Estimates for Convex Polynomial Approximation ⋮ Exact order of pointwise estimates for polynomial approximation with Hermite interpolation ⋮ Uniform and pointwise shape preserving approximation (SPA) by algebraic polynomials: an update ⋮ On uniform monotone approximation of continuous monotone functions with the help of translations and dilations of the Laplace integral ⋮ Interpolatory pointwise estimates for monotone polynomial approximation ⋮ Shape-preserving polynomial approximation in C[– 1, 1] ⋮ On monotone approximation of piecewise continuous monotone functions with the help of translations and dilations of the Laplace integral ⋮ Monotone polynomial approximation inL p space ⋮ Monotone and comonotone polynomial approximation revisited ⋮ Coconvex approximation of periodic functions ⋮ Polynomial approximation in \(L_ p (O<p<1)\) ⋮ On a counterexample in monotone approximation ⋮ Bivariate Monotone Approximation ⋮ A generalized optimization strategy for dynamic \(CO_ 2\) enrichment in a greenhouse ⋮ Korovkin-type theorem for sequences of operators preserving shape ⋮ Comonotone approximation with interpolation at the ends on an interval ⋮ Interpolatory estimates in monotone piecewise polynomial approximation ⋮ Interpolatory estimates in monotone piecewise polynomial approximation ⋮ Interpolatory pointwise estimates for convex polynomial approximation ⋮ Approximation of functions by polynomials with various constraints ⋮ On the approximation of functions by polynomials and entire functions of exponential type ⋮ Nearly comonotone approximation ⋮ Pointwise estimation of comonotone approximation ⋮ Shape-preserving approximation by polynomials ⋮ Comonotone Jackson's inequality ⋮ Properties of the Dzyadyk polynomial kernels on a closed segment ⋮ Interpolation of cones and shape-preserving approximation ⋮ Coconvex approximation. ⋮ Convex polynomial and spline approximation in \(C[-1,1\)]
Cites Work