On the sets of convergence for sequences of the \(q\)-Bernstein polynomials with \(q > 1\)

DOI10.1155/2012/185948zbMath1254.41013OpenAlexW2153743328WikidataQ58695081 ScholiaQ58695081MaRDI QIDQ696000

Ahmet Yaşar Özban, Sofiya Ostrovska

Publication date: 18 December 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/185948

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25)

Related Items (2)

The truncated \(q\)-Bernstein polynomials in the case \(q > 1\) ⋮ On the convergence of the \(q\)-Bernstein polynomials for power functions

Cites Work

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• A note on approximation properties of \(q\)-Durrmeyer operators
• The \(q\)-Bernstein basis as a \(q\)-binomial distribution
• The saturation of convergence on the interval [0,1 for the \(q\)-Bernstein polynomials in the case \(q>1\)]
• \(q\)-Bernstein polynomials and their iterates.
• The eigenstructure of the Bernstein operator
• Weierstrass and approximation theory
• The norm estimates of the \(q\)-Bernstein operators for varying \(q>1\)
• Properties of convergence for \(\omega,q\)-Bernstein polynomials
• Narrow operators (a survey)
• Spectral nonequilibrium in a turbulent mixing layer
• Basic wavelet theory
• On polynomial interpolation at the points of a geometric progression
• The q-deformed binomial distribution and its asymptotic behaviour

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