Generalized blending type Bernstein operators based on the shape parameter \(\lambda\)
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Publication:6038880
DOI10.1186/s13660-022-02832-xzbMath1509.41006OpenAlexW4286771077WikidataQ114061315 ScholiaQ114061315MaRDI QIDQ6038880
Mehmet S. Atamert, Erdem Baytunç, Halil Gezer, Hüseyin Aktuğlu
Publication date: 3 May 2023
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-022-02832-x
modulus of continuityBernstein operators\(\lambda\)-Bernstein operators\(\alpha\)-Bernstein operators
Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)
Cites Work
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- Approximation of functions by a new family of generalized Bernstein operators
- 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 of functions by a new class of generalized Bernstein-Schurer operators
- Approximation properties of generalized \(\lambda\)-Bernstein-Kantorovich type operators
- Convergence of \(\lambda\)-Bernstein operators via power series summability method
- Approximation by Stancu-Chlodowsky type \(\lambda\)-Bernstein operators
- Statistical approximation properties of \(\lambda\)-Bernstein operators based on \(q\)-integers
- Construction of Stancu-type Bernstein operators based on Bézier bases with shape parameter \(\lambda\)
- Approximation of functions by a class of Durrmeyer-Stancu type operators which includes Euler's beta function
- Blending type approximation by generalized Bernstein-Durrmeyer type operators
- Applications of Generalized Weighted Statistical Convergence to Approximation Theorems for Functions of One and Two Variables
- On new Bézier bases with Schurer polynomials and corresponding results in approximation theory
- Approximation properties of generalized blending type Lototsky-Bernstein operators
- Approximation properties of λ‐Bernstein‐Kantorovich operators with shifted knots
- Weighted statistical approximation properties of univariate and bivariate λ-Kantorovich operators
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