Approximation of Discontinuous Functions by q-Bernstein Polynomials

DOI10.1007/978-3-319-31281-1_22zbMath1370.41014OpenAlexW2519135866MaRDI QIDQ5348521

Ahmet Yaşar Özban, Sofiya Ostrovska

Publication date: 18 August 2017

Published in: Mathematical Analysis, Approximation Theory and Their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-31281-1_22

zbMATH Keywords

convergencetime scalediscontinuous function\(q\)-Bernstein polynomial

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Real analysis on time scales or measure chains (26E70)

Cites Work

• On the approximation of analytic functions by the \(q\)-Bernstein polynomials in the case \(q>1\)
• The \(q\)-Bernstein polynomials of the Cauchy kernel with a pole on \([0,1\) in the case \(q>1\)]
• The \(q\)-Bernstein basis as a \(q\)-binomial distribution
• On the \(q\)-Bernstein polynomials of rational functions with real poles
• Papers of L.V. Kantorovich on Bernstein polynomials
• On the q-Bernstein polynomials of the logarithmic function in the case q > 1
• The q-deformed binomial distribution and its asymptotic behaviour
• How do singularities of functions affect the convergence of q-Bernstein polynomials?
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