On the eigenstructure of the $q$-Durrmeyer operators
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Publication:6117905
DOI10.55730/1300-0098.3454OpenAlexW4387164554MaRDI QIDQ6117905
Publication date: 21 February 2024
Published in: Turkish Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.55730/1300-0098.3454
momentseigenvalueseigenfunctions\(q\)-integers\(q\)-Stirling numbers\(q\)-Bernstein-Durrmeyer operators
Eigenvalue problems for linear operators (47A75) Linear operators on function spaces (general) (47B38)
Cites Work
- The \(q\)-versions of the Bernstein operator: from mere analogies to further developments
- The eigenstructure of the Bernstein operator
- Interpolation and approximation by polynomials
- \(q\)-Bernstein polynomials and Bézier curves
- Papers of L.V. Kantorovich on Bernstein polynomials
- The eigenstructure of operators linking the Bernstein and the genuine Bernstein-Durrmeyer operators
- Some approximation properties of \(q\)-Durrmeyer operators
- The rate of convergence ofq-Durrmeyer operators for 0<q<1
- Convexity and generalized Bernstein polynomials
- Bernstein-Bézier Methods for the Computer-Aided Design of Free-Form Curves and Surfaces
- On the eigenvectors of the q -Bernstein operators
- On the eigenstructure of the $(\alpha,q)$-Bernstein operator
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