Functions whose smoothness is not improved under the limit \(q\)-Bernstein operator
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Publication:388056
DOI10.1186/1029-242X-2012-297zbMath1279.26008OpenAlexW2139344815WikidataQ59288117 ScholiaQ59288117MaRDI QIDQ388056
Publication date: 18 December 2013
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1029-242x-2012-297
Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Lipschitz (Hölder) classes (26A16) Approximation by positive operators (41A36)
Related Items (2)
The \(q\)-versions of the Bernstein operator: from mere analogies to further developments ⋮ A survey of results on the limit \(q\)-Bernstein operator
Cites Work
- Convergence of generalized Bernstein polynomials
- On the improvement of analytic properties under the limit \(q\)-Bernstein operator
- The \(q\)-Bernstein basis as a \(q\)-binomial distribution
- Korovkin-type theorem and application
- Properties of convergence for \(\omega,q\)-Bernstein polynomials
- Properties of convergence for the \(q\)-Meyer-König and Zeller operators
- The rate of convergence ofq-Durrmeyer operators for 0<q<1
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