Lipschitz constants for the Bernstein polynomials of a Lipschitz continuous function
From MaRDI portal
Publication:1820942
DOI10.1016/0021-9045(87)90087-6zbMath0615.41007OpenAlexW2077011847MaRDI QIDQ1820942
D. F. Paget, David L. Elliott, Bruce M. Brown
Publication date: 1987
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-9045(87)90087-6
Approximation by polynomials (41A10) Approximation by positive operators (41A36) Other special functions (33E99) Nontrigonometric harmonic analysis (42C99)
Related Items (24)
Cutting corners preserves Lipschitz continuity ⋮ Lifting the Convex Conjugate in Lagrangian Relaxations: A Tractable Approach for Continuous Markov Random Fields ⋮ Two new formulas for the numerical evaluation of the Hilbert transform ⋮ On a problem of Gonska ⋮ Shape preserving approximations by polynomials and splines ⋮ Simultaneous Weighted Approximation with Multivariate Baskakov–Schurer Operators ⋮ On some approximation processes and their associated parabolic problems ⋮ Multivariate Zipper Fractal Functions ⋮ Unnamed Item ⋮ Multivariate Stancu operators defined on a simplex. ⋮ Lipschitz constants for some approximation operators of a Lipschitz continuous function ⋮ On bivariate Bernstein-Chlodowsky operators ⋮ Bernstein polynomials and modulus of continuity ⋮ Bivariate Bernstein type operators ⋮ Simultaneous approximation by Bernstein operators in Hölder norms ⋮ On a Chlodovsky variant of a multivariate beta operator ⋮ On multivariate Baskakov operator ⋮ Preservation properties by Bernstein-type operators. A probabilistic approach ⋮ Constructive approximation by monotonous polynomial sequences in \(Lip_ M\alpha\), with a\(\in (0,1\)] ⋮ A new property of Bernstein-Kantorovič operators ⋮ Best constants in preservation inequalities concerning the first modulus and Lipschitz classes for Bernstein-type operators ⋮ Kantorovich-Bernstein α-fractal function in 𝓛P spaces ⋮ On preservation of binomial operators ⋮ Set-valued extension of operators via Steiner selections. II: Applications to approximation.
Cites Work
This page was built for publication: Lipschitz constants for the Bernstein polynomials of a Lipschitz continuous function