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




Related Items (24)

Cutting corners preserves Lipschitz continuityLifting the Convex Conjugate in Lagrangian Relaxations: A Tractable Approach for Continuous Markov Random FieldsTwo new formulas for the numerical evaluation of the Hilbert transformOn a problem of GonskaShape preserving approximations by polynomials and splinesSimultaneous Weighted Approximation with Multivariate Baskakov–Schurer OperatorsOn some approximation processes and their associated parabolic problemsMultivariate Zipper Fractal FunctionsUnnamed ItemMultivariate Stancu operators defined on a simplex.Lipschitz constants for some approximation operators of a Lipschitz continuous functionOn bivariate Bernstein-Chlodowsky operatorsBernstein polynomials and modulus of continuityBivariate Bernstein type operatorsSimultaneous approximation by Bernstein operators in Hölder normsOn a Chlodovsky variant of a multivariate beta operatorOn multivariate Baskakov operatorPreservation properties by Bernstein-type operators. A probabilistic approachConstructive approximation by monotonous polynomial sequences in \(Lip_ M\alpha\), with a\(\in (0,1\)] ⋮ A new property of Bernstein-Kantorovič operatorsBest constants in preservation inequalities concerning the first modulus and Lipschitz classes for Bernstein-type operatorsKantorovich-Bernstein α-fractal function in 𝓛P spacesOn preservation of binomial operatorsSet-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