The \(q\)-versions of the Bernstein operator: from mere analogies to further developments

DOI10.1007/s00025-016-0530-2zbMath1339.41009OpenAlexW2303442457MaRDI QIDQ287285

Sofiya Ostrovska

Publication date: 26 May 2016

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-016-0530-2

zbMATH Keywords

analytic functionpositive operator\(q\)-Bernstein polynomialsLupaş \(q\)-analogue of the Bernstein operator

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Approximation by polynomials (41A10) Approximation by positive operators (41A36)

Related Items (5)

On the eigenstructure of the $q$-Durrmeyer operators ⋮ An elaboration of the Cai-Xu result on \((p, q)\)-integers ⋮ On the convergence of the \(q\)-Bernstein polynomials for power functions ⋮ On the eigenfunctions of the \(q\)-Bernstein operators ⋮ A basic problem of \((p,q)\)-Bernstein-type operators

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