On new Bézier bases with Schurer polynomials and corresponding results in approximation theory
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Publication:5083636
DOI10.31801/cfsuasmas.510382zbMath1493.41002OpenAlexW2989910015MaRDI QIDQ5083636
Publication date: 20 June 2022
Published in: Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.31801/cfsuasmas.510382
shape parameterstatistical approximationBézier bases\(\lambda\)-Schurer operatorsweighted \(A\)-statistical Voronovskaja-type theorem
Approximation by polynomials (41A10) Approximation by operators (in particular, by integral operators) (41A35) Approximation by positive operators (41A36)
Related Items (15)
On a Stancu form Szász-Mirakjan-Kantorovich operators based on shape parameter \(\lambda\) ⋮ Numerical and theoretical approximation results for Schurer-Stancu operators with shape parameter \(\lambda\) ⋮ Approximation of functions by a class of Durrmeyer-Stancu type operators which includes Euler's beta function ⋮ Some approximation results on a class of new type λ-Bernstein polynomials ⋮ Statistical weighted \((N_\lambda,p,q)(E_\lambda,1)\) \(A\)-summability with application to Korovkin's type approximation theorem ⋮ Generalized blending type Bernstein operators based on the shape parameter \(\lambda\) ⋮ Approximation process based on parametric generalization of Schurer-Kantorovich operators and their bivariate form ⋮ Convergence on sequences of Szász-Jakimovski-Leviatan type operators and related results ⋮ Approximation properties of univariate and bivariate new class \(\lambda\)-Bernstein-Kantorovich operators and its associated GBS operators ⋮ Generalized \((p,q)\)-gamma-type operators ⋮ Approximation by Szász-Jakimovski-Leviatan-type operators via aid of Appell polynomials ⋮ Unnamed Item ⋮ Approximation of functions by a new class of generalized Bernstein-Schurer operators ⋮ A numerical comparative study of generalized Bernstein-Kantorovich operators ⋮ Applications of Generalized Weighted Statistical Convergence to Approximation Theorems for Functions of One and Two Variables
Cites Work
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- Bézier curves based on Lupaş \((p,q)\)-analogue of Bernstein functions in CAGD
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- Approximation properties of \(\lambda\)-Bernstein operators
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- \(K_a\)-convergence and Korovkin type approximation
- Statistical weighted \(\mathcal{B}\)-summability and its applications to approximation theorems
- Statistical approximation properties of \(\lambda\)-Bernstein operators based on \(q\)-integers
- Construction of Stancu-type Bernstein operators based on Bézier bases with shape parameter \(\lambda\)
- On some statistical approximation by \((p,q)\)-Bleimann, Butzer and Hahn operators
- On a generalization of Bernstein polynomials and Bézier curves based on umbral calculus
- Some approximation results for (p,q)-Lupaş-Schurer operators
- Bivariate-Schurer-Stancu operators based on (p,q)-integers
- Korovkin type approximation theorem via Ka−convergence on weighted spaces
- Some approximation properties by a class of bivariate operators
- Approximation properties of λ‐Bernstein‐Kantorovich operators with shifted knots
- Local approximation properties for certain King type operators
- Sur la convergence statistique
- Weighted statistical approximation properties of univariate and bivariate λ-Kantorovich operators
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