Statistical approximation properties of \(\lambda\)-Bernstein operators based on \(q\)-integers

DOI10.1515/math-2019-0039zbMath1427.41001OpenAlexW2948222390MaRDI QIDQ2278379

Guorong Zhou, Qing-Bo Cai, Jun-Jie Li

Publication date: 5 December 2019

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2019-0039

zbMATH Keywords

statistical convergencebasis function\(q\)-integers\(\lambda\)-Bernstein operators

Mathematics Subject Classification ID

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

Related Items (11)

On a Stancu form Szász-Mirakjan-Kantorovich operators based on shape parameter \(\lambda\) ⋮ On new Bézier bases with Schurer polynomials and corresponding results in approximation theory ⋮ Some approximation results on a class of new type λ-Bernstein polynomials ⋮ Generalized blending type Bernstein operators based on the shape parameter \(\lambda\) ⋮ Curve and surface construction based on the generalized toric-Bernstein basis functions ⋮ On the Durrmeyer variant of \(q\)-Bernstein operators based on the shape parameter \(\lambda\) ⋮ Some new inequalities and numerical results of bivariate Bernstein-type operator including Bézier basis and its GBS operator ⋮ Approximation properties of univariate and bivariate new class \(\lambda\)-Bernstein-Kantorovich operators and its associated GBS operators ⋮ Unnamed Item ⋮ On the approximation properties of \(q\)-analogue bivariate \(\lambda\)-Bernstein type operators ⋮ Convergence of \(\lambda \)-Bernstein operators based on \((p, q)\)-integers

Cites Work

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• Bernstein-Schurer-Kantorovich operators based on \(q\)-integers
• On statistical approximation properties of Kantorovich type \(q\)-Bernstein operators
• Convergence of generalized Bernstein polynomials
• Approximation properties of \(\lambda\)-Bernstein operators
• On certain \(q\)-Durrmeyer type operators
• Some approximation theorems via statistical convergence.
• Generalized \(q\)-Bernstein-Schurer operators and some approximation theorems
• Some approximation properties of \(q\)-Durrmeyer operators
• Approximation properties for generalized \(q\)-Bernstein polynomials
• The rate of convergence of \(q\)-Bernstein polynomials for \(0<q<1\)
• Approximation Properties For Modifiedq-Bernstein-Kantorovich Operators
• The rate of convergence ofq-Durrmeyer operators for 0<q<1
• Sur la convergence statistique
• Quantum calculus

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