The inversion results for the limit \(q\)-Bernstein operator

DOI10.1007/s11785-017-0681-5zbMath1404.30003OpenAlexW2613642505MaRDI QIDQ1623861

Sofiya Ostrovska

Publication date: 23 November 2018

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-017-0681-5

zbMATH Keywords

analytic continuationlimit \(q\)-Bernstein operator

Mathematics Subject Classification ID

Analytic continuation of functions of one complex variable (30B40)

Cites Work

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• Convergence of generalized Bernstein polynomials
• Voronovskaya-type formulas and saturation of convergence for \(q\)-Bernstein polynomials for \(0 < q < 1\)
• The \(q\)-Bernstein basis as a \(q\)-binomial distribution
• Korovkin-type theorem and application
• A survey of results on the limit \(q\)-Bernstein operator
• Properties of convergence for the \(q\)-Meyer-König and Zeller operators
• Higher order limit q-Bernstein operators