On a generalization of Bleimann, Butzer and Hahn operators based on \(q\)-integers

DOI10.1016/j.mcm.2010.10.006zbMath1217.33033OpenAlexW1984605039MaRDI QIDQ552061

Grzegorz Nowak, Octavian Agratini

Publication date: 21 July 2011

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2010.10.006

zbMATH Keywords

\(q\)-integerslinear positive operator

Mathematics Subject Classification ID

Difference equations, scaling ((q)-differences) (39A13) Basic hypergeometric functions (33D99) Approximations and expansions (41A99)

Related Items (10)

On \(q\)-Bleimann, Butzer, and Hahn-type operators ⋮ On approximation properties of some class positive linear operators in q-analysis ⋮ Approximation by a kind of complex modified \(q\)-Durrmeyer type operators in compact disks ⋮ Approximation of the summation-integral-type \(q\)-Szász-Mirakjan operators ⋮ On the \(q\)-Bernstein polynomials of piecewise linear functions in the case \(q>1\) ⋮ King type modification of q-Bernstein-Schurer operators ⋮ Approximation by Fuzzy $(p,q)$-Bernstein-Chlodowsky Operators ⋮ Weighted Statistical Approximation Properties of the q-Phillips Operators ⋮ 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

• Rate of convergence for the Bézier variant of the Bleimann--Butzer--Hahn operators
• Inverse beta and generalized Bleimann-Butzer-Hahn operators
• Korovkin-type approximation theory and its applications
• Some identities for the operator of Bleimann, Butzer and Hahn involving divided differences
• Interpolation and approximation by polynomials
• On a \(q\)-analogue of Stancu operators
• Statistical approximation properties of \(q\)-Bleimann, Butzer and Hahn operators
• Bleimann, Butzer, and Hahn operators based on the \(q\)-integers
• Approximation properties for generalized \(q\)-Bernstein polynomials
• Quantum calculus
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