Bivariate Bernstein type operators

DOI10.1016/j.amc.2015.10.037zbMath1410.41028OpenAlexW2180956848MaRDI QIDQ668519

Ayşegül Erençin, Hatice Gül İnce-İlarslan, Gülen Başcanbaz Tunca

Publication date: 19 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.10.037

zbMATH Keywords

Lipschitz continuous functionBernstein type operatormonotony

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Related Items

Improved rate of approximation by modification of Baskakov operator ⋮ Bivariate Baskakov type operators

Cites Work

• Markov operators, positive semigroups and approximation processes
• Saturation in multivariate simultaneous approximation
• On a Chlodovsky variant of a multivariate beta operator
• On multivariate Baskakov operator
• Bernstein-type operators which preserve polynomials
• The convexity of Bernstein polynomials over triangles
• \(K\)-functionals and multivariate Bernstein polynomials
• Lipschitz constants for the Bernstein polynomials of a Lipschitz continuous function
• Bernstein polynomials and modulus of continuity
• Some preservation properties of MKZ-Stancu type operators
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