Asymptotic expansion and extrapolation for Bernstein polynomials with applications
From MaRDI portal
Publication:2565270
DOI10.1007/BF01733787zbMath0872.65005OpenAlexW2065526113MaRDI QIDQ2565270
Maria Italia Gualtieri, Stefano Serra Capizzano, Francesco Aldo Costabile
Publication date: 11 March 1997
Published in: BIT (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01733787
Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Extrapolation to the limit, deferred corrections (65B05) Algorithms for approximation of functions (65D15) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)
Related Items (9)
Approximation of multivariate function by using new multivariate Bernstein \(\alpha\)-polynomials ⋮ Experiments with range computations using extrapolation ⋮ A new approach to improve the order of approximation of the Bernstein operators: theory and applications ⋮ Some results on generalized Szász operators involving Sheffer polynomials ⋮ Asymptotic expansion of multivariate Kantorovich type operators ⋮ Lidstone-Euler interpolation and related high even order boundary value problem ⋮ Lidstone-Euler second-type boundary value problems: theoretical and computational tools ⋮ Asymptotic expansions for multivariate polynomial approximation ⋮ Komleva-type expansions and asymptotics for linear operators
Cites Work
- A global inverse theorem for combinations of Bernstein polynomials
- A Fast Algorithm for Linear Complex Chebyshev Approximations
- Saturation and Inverse Theorems for Combinations of a Class of Exponential-Type Operators
- On the Maximum Errors of Polynomial Approximations Defined by Interpolation and by Least Squares Criteria
- Linear Combinations of Bernstein Polynomials
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Asymptotic expansion and extrapolation for Bernstein polynomials with applications
