The approximation of logarithmic function by \(q\)-Bernstein polynomials in the case \(q >1\)

DOI10.1007/s11075-007-9081-7zbMath1113.41010OpenAlexW2107789088MaRDI QIDQ885501

Sofiya Ostrovska

Publication date: 14 June 2007

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-007-9081-7

zbMATH Keywords

Uniform convergence

Mathematics Subject Classification ID

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

Related Items (2)

On the \(q\)-Bernstein polynomials of piecewise linear functions in the case \(q>1\) ⋮ The norm estimates for the $q$-Bernstein operator in the case $q>1$

Cites Work

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• Convergence of generalized Bernstein polynomials
• On the improvement of analytic properties under the limit \(q\)-Bernstein operator
• Voronovskaya-type formulas and saturation of convergence for \(q\)-Bernstein polynomials for \(0 < q < 1\)
• \(q\)-Bernstein polynomials and their iterates.
• The eigenstructure of the Bernstein operator
• Korovkin-type theorem and application
• Interpolation and approximation by polynomials
• On the convergence and iterates of \(q\)-Bernstein polynomials
• The approximation by \(q\)-Bernstein polynomials in the case \(q \downarrow 1\)
• The rate of convergence of \(q\)-Bernstein polynomials for \(0<q<1\)
• Convexity and generalized Bernstein polynomials

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