On the shape-preserving properties of \(\lambda\)-Bernstein operators

DOI10.1186/s13660-022-02890-1OpenAlexW4310185957MaRDI QIDQ6062371

Lianta Su, Bayram Çekim, G. Mutlu

Publication date: 30 November 2023

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-022-02890-1

zbMATH Keywords

computer-aided design\(\lambda\)-Bernstein operatorsshape-preserving properties

Mathematics Subject Classification ID

Linear operator approximation theory (47A58) Approximation by polynomials (41A10) Approximation by positive operators (41A36)

Cites Work

• Approximation of functions by a new family of generalized Bernstein operators
• Bernstein-type operators which preserve polynomials
• A new approach to improve the order of approximation of the Bernstein operators: theory and applications
• Convex analysis and nonlinear optimization. Theory and examples.
• Approximation properties of \(\lambda\)-Bernstein operators
• The Bézier variant of Kantorovich type \(\lambda\)-Bernstein operators
• Approximation properties of \(\lambda\)-Kantorovich operators
• Shape-preserving properties of a new family of generalized Bernstein operators
• Approximation by modified \(U^{\rho }_n\) operators
• On a quasi-interpolating Bernstein operator
• Stieltjes integral representation of convex functions
• Bernstein Operators and Their Properties
• Approximation properties of λ‐Bernstein‐Kantorovich operators with shifted knots

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