A de Casteljau algorithm for \(q\)-Bernstein-Stancu polynomials
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Publication:624509
DOI10.1155/2011/609431zbMath1209.33017OpenAlexW2063369300WikidataQ58654348 ScholiaQ58654348MaRDI QIDQ624509
Publication date: 9 February 2011
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/227791
Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)
Related Items (2)
On the \(q\)-Bernstein polynomials of piecewise linear functions in the case \(q>1\) ⋮ The rate of pointwise approximation of positive linear operators based on \(q\)-integer
Cites Work
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- A de Casteljau algorithm for generalized Bernstein polynomials
- Convergence of generalized Bernstein polynomials
- Direct and converse results for Stancu operator
- On the rate of pointwise convergence of Bernstein and Kantorovič polynomials
- Quantitative theorems on approximation by Bernstein-Stancu operators
- Some approximation properties of Bernstein and Kantorovic polynomials
- Interpolation and approximation by polynomials
- Approximation properties for generalized \(q\)-Bernstein polynomials
- Convexity and generalized Bernstein polynomials
- A survey of results on the q-Bernstein polynomials
- Quantum calculus
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