Generalized B\'{e}zier curves based on Bernstein-Stancu-Chlodowsky type operators

DOI10.5269/bspm.52003OpenAlexW4210932553MaRDI QIDQ6189582

Kejal Khatri, Vishnu Narayan Mishra

Publication date: 8 February 2024

Published in: Boletim da Sociedade Paranaense de Matemática (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5269/bspm.52003

zbMATH Keywords

shape parametersBézier curvesdegree elevationde Casteljau algorithmBernstein-Stancu-Chlodowsky-type operators

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Computer-aided design (modeling of curves and surfaces) (65D17) Approximation by positive operators (41A36)

Cites Work

• Generalized Bézier curves and surfaces based on Lupaş \(q\)-analogue of Bernstein operator
• Bézier curves based on Lupaş \((p,q)\)-analogue of Bernstein functions in CAGD
• Simultaneous approximation by Szász-Mirakjan-Stancu-Durrmeyer type operators
• On \((p, q)\)-analogue of Bernstein operators
• Approximation properties of a new type Bernstein-Stancu polynomials of one and two variables
• Tensor product \(q\)-Bernstein polynomials
• Algorithms for polynomials in Bernstein form
• Some approximation results by \((p, q)\)-analogue of Bernstein-Stancu operators
• On the \(q\)-derivatives of a certain linear positive operators
• \(q\)-Bernstein polynomials and Bézier curves
• Inverse result in simultaneous approximation by Baskakov-Durrmeyer-Stancu operators
• Generalized Szász-Mirakyan operators involving Brenke type polynomials
• Generalized \(q\)-Bernstein-Schurer operators and some approximation theorems
• On the Lupaş \(q\)-analogue of the Bernstein operator
• Simultaneous approximation by Szász-Mirakjan-Durrmeyer-type operators
• Local and global results for modified Szász-Mirakjan operators
• Tensor Product q −Bernstein Bézier Patches
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