Shape preserving properties of \((\mathfrak{p},\mathfrak{q})\) Bernstein Bèzier curves and corresponding results over \([a,b]\)

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
Iterative process for \(G^{2}\)-multi degree reduction of Bézier curves
\(q\)-blossoming: A new approach to algorithms and identities for \(q\)-Bernstein bases and \(q\)-Bézier curves
On \((p, q)\)-analogue of Bernstein operators
A de Casteljau algorithm for generalized Bernstein polynomials
Approximation properties of \(\lambda\)-Bernstein operators
Bernstein-type operators on a triangle with one curved side
Approximation by bivariate \((p,q)\)-Bernstein-Kantorovich operators
Interpolation and approximation by polynomials
\(q\)-Bernstein polynomials and Bézier curves
Phillips-type \(q\)-Bernstein operators on triangles
Convergence of \(\lambda\)-Bernstein operators via power series summability method
Convergence of \(\lambda \)-Bernstein operators based on \((p, q)\)-integers
Approximation properties and \(q\)-statistical convergence of Stancu-type generalized Baskakov-Szász operators
On the Lupaş \(q\)-analogue of the Bernstein operator
A generalization of the Bernstein polynomials based on the q-integers
Learning theory of minimum error entropy under weak moment conditions
Some approximation results on a class of new type λ-Bernstein polynomials
Approximation properties of λ‐Bernstein‐Kantorovich operators with shifted knots
Local approximation properties for certain King type operators
Some approximation results on Bleimann-Butzer-Hahn operators defined by (p,q)-integers
Quantum calculus
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