On the convergence of the \(q\)-Bernstein polynomials for power functions

DOI10.1007/s00009-021-01756-yzbMath1477.41003OpenAlexW3156279680MaRDI QIDQ2026814

Ahmet Yaşar Özban, Sofiya Ostrovska

Publication date: 20 May 2021

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-021-01756-y

zbMATH Keywords

convergencepower function\(q\)-integer\(q\)-Bernstein polynomial

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)

Uses Software

• MathOverflow

Cites Work

• The \(q\)-versions of the Bernstein operator: from mere analogies to further developments
• On the sets of convergence for sequences of the \(q\)-Bernstein polynomials with \(q > 1\)
• On \(q\)-parametric Szász-Mirakjan operators
• Weighted Lupaş \(q\)-Bézier curves
• Interpolation and approximation by polynomials
• \(q\)-blossoming and Hermite-Padé approximants to the \(q\)-exponential function
• Discrete q-Distributions
• A survey of results on the q-Bernstein polynomials
• Accurate Computations with Collocation Matrices of q-Bernstein Polynomials
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