Shape-preserving properties of a new family of generalized Bernstein operators

DOI10.1186/s13660-018-1821-9zbMath1498.41006OpenAlexW2890501123WikidataQ58739918 ScholiaQ58739918MaRDI QIDQ824776

Xiao-Wei Xu, Qing-Bo Cai

Publication date: 15 December 2021

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

Full work available at URL: https://doi.org/10.1186/s13660-018-1821-9

zbMATH Keywords

monotonicityBernstein operatorsbasis functionshape-preserving\(q\)-integers

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Approximation by positive operators (41A36)

Related Items (9)

Approximation properties of generalized blending type Lototsky-Bernstein operators ⋮ Generalized blending type Bernstein operators based on the shape parameter \(\lambda\) ⋮ On the shape-preserving properties of \(\lambda\)-Bernstein operators ⋮ A new representation and shape‐preserving properties of perturbed Bernstein operators ⋮ Approximation theorem for new modification of \(q\)-Bernstein operators on (0,1) ⋮ Approximation by α-Bernstein-Schurer operator ⋮ Blending type approximation by modified Bernstein operators ⋮ Approximation by α-Bernstein-Schurer-Stancu operators ⋮ On the eigenstructure of the $(\alpha,q)$-Bernstein operator

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