\(q\)-parametric Bleimann Butzer and Hahn operators

DOI10.1155/2008/816367zbMath1154.41012OpenAlexW2119714939WikidataQ59218073 ScholiaQ59218073MaRDI QIDQ949021

Nazim Idris Mahmudov, Pembe Sabancigil

Publication date: 16 October 2008

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2008/816367

zbMATH Keywords

rate of convergenceVoronovskaja-type theoremsaturation of convergence

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36) Saturation in approximation theory (41A40)

Related Items (13)

A survey of results on the limit \(q\)-Bernstein operator ⋮ On approximation properties of some class positive linear operators in q-analysis ⋮ Statistical approximation of Baskakov and Baskakov-Kantorovich operators based on the \(q\)-integers ⋮ Approximation by the \(q\)-Szász-Mirakjan operators ⋮ On \(q\)-Baskakov-Mastroianni operators ⋮ Ibragimov-Gadjiev operators based on \(q\)-integers ⋮ On certain \(q\)-Phillips operators ⋮ Chlodowsky variant of \(q\)-Bernstein-Schurer-Stancu operators ⋮ On \(q\)-Szász-Durrmeyer operators ⋮ \((p , q)\)-generalization of Szász-Mirakjan operators and their approximation properties ⋮ \(q\)-Szász-Mirakyan-Kantorovich operators of functions of two variables in polynomial weighted spaces ⋮ Korovkin type theorem for non‐tensor Balázs type Bleimann, Butzer and Hahn operators ⋮ On the construction of q-analogues for some positive linear operators

Cites Work

• Convergence of generalized Bernstein polynomials
• The \(q\)-derivate and applications to \(q\)-Sz'asz Mirakyan operators
• Voronovskaya-type formulas and saturation of convergence for \(q\)-Bernstein polynomials for \(0 < q < 1\)
• A note on a Bernstein-type operator of Bleimann, Butzer, and Hahn
• On the asymptotic approximation with bivariate operators of Bleimann, Butzer and Hahn
• On the iterates of some Bernstein-type operators
• Some approximation properties of \(q\)-Chlodowsky operators
• Bleimann, Butzer, and Hahn operators based on the \(q\)-integers
• Some approximation properties of \(q\)-Durrmeyer operators
• The rate of convergence of \(q\)-Bernstein polynomials for \(0<q<1\)
• Properties of convergence for the \(q\)-Meyer-König and Zeller operators
• Generalized Bernstein polynomials

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