On a Chlodovsky variant of a multivariate beta operator

DOI10.1016/j.cam.2010.10.049zbMath1218.41021OpenAlexW2014113907MaRDI QIDQ555179

Gülen Başcanbaz Tunca, Yalcin Tuncer

Publication date: 22 July 2011

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

Full work available at URL: https://doi.org/10.1016/j.cam.2010.10.049

zbMATH Keywords

modulus of smoothnessChlodovsky operatormultivariate beta operator

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (3)

Unnamed Item ⋮ Approximation by a generalization of the Jakimovski-Leviatan operators ⋮ Bivariate Bernstein type operators

Cites Work

• On multivariate Baskakov operator
• Linear operators that preserve some test functions
• Lipschitz constants for some approximation operators of a Lipschitz continuous function
• Theorem of Voronovskaya for Szasz-Chlodovsky operators
• Weighted approximation by Bernstein-Chlodowsky polynomials
• Best constants in global smoothness preservation inequalities for some multivariate operators
• Generalized Bernstein-Chlodowsky polynomials
• Local approximation by Beta operators
• Lipschitz constants for the Bernstein polynomials of a Lipschitz continuous function
• Bernstein polynomials and modulus of continuity
• Some approximation properties of \(q\)-Chlodowsky operators
• Approximation by generalized MKZ-operators in polynomial weighted spaces
• Bernstein-Type Operators on the Half Line
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