On the approximation of analytic functions by the \(q\)-Bernstein polynomials in the case \(q>1\)

zbMath1207.41004MaRDI QIDQ625555

Sofiya Ostrovska

Publication date: 17 February 2011

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/226762

zbMATH Keywords

uniform convergence\(q\)-integers\(q\)-Bernstein polynomials\(q\)-binomial coefficients

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Approximation by polynomials (41A10)

Related Items (6)

The \(q\)-versions of the Bernstein operator: from mere analogies to further developments ⋮ Approximation of Discontinuous Functions by q-Bernstein Polynomials ⋮ On the \(q\)-Bernstein polynomials of piecewise linear functions in the case \(q>1\) ⋮ On the sets of convergence for sequences of the \(q\)-Bernstein polynomials with \(q > 1\) ⋮ On the analyticity of functions approximated by their \(q\)-Bernstein polynomials when \(q > 1\) ⋮ On \(p\)-adic fermionic integrals of \(q\)-Bernstein polynomials associated with \(q\)-Euler numbers and polynomials

This page was built for publication: On the approximation of analytic functions by the \(q\)-Bernstein polynomials in the case \(q>1\)