Statistical approximation of Baskakov and Baskakov-Kantorovich operators based on the \(q\)-integers

DOI10.2478/s11533-010-0040-5zbMath1204.41017OpenAlexW2003606304MaRDI QIDQ607434

Nazim Idris Mahmudov

Publication date: 22 November 2010

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-010-0040-5

zbMATH Keywords

weighted space\(q\)-integersweighted modulus of smoothness\(q\)-Baskakov operators\(q\)-Baskakov-Kantorovich operators

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36) Approximation by other special function classes (41A30)

Related Items (18)

Some approximation results on Bernstein-Schurer operators defined by \((p,q)\)-integers ⋮ Dunkl generalization of \(q\)-Szász-Mirakjan Kantorovich operators which preserve some test functions ⋮ Some approximation results by \((p, q)\)-analogue of Bernstein-Stancu operators ⋮ On the q-analogues for some Kantorovich type linear operators ⋮ Approximation by the \(q\)-Szász-Mirakjan operators ⋮ Statistical approximation of a kind of Kantorovich type \(q\)-Szász-Mirakjan operators ⋮ \(q\)-Bernstein-Schurer-Kantorovich type operators ⋮ Approximation properties of bivariate extension of \(q\)-Szász-Mirakjan-Kantorovich operators ⋮ Generalized \(q\)-Bernstein-Schurer operators and some approximation theorems ⋮ Korovkin type Approximation of Abel transforms of q-Meyer-König and Zeller operators ⋮ On \((p, q)\)-analogue of Bernstein operators ⋮ The Kantorovich variant of an operator defined by D. D. Stancu ⋮ Bivariate generalization of q-Bernstein-Kantorovich type operator ⋮ \((p , q)\)-generalization of Szász-Mirakjan operators and their approximation properties ⋮ \(q\)-Szász-Mirakyan-Kantorovich operators of functions of two variables in polynomial weighted spaces ⋮ Some approximation properties of a Durrmeyer variant of q‐Bernstein–Schurer operators ⋮ Bivariate \(q\)-Bernstein-Schurer-Kantorovich operators ⋮ Generalized Baskakov Kantorovich operators

Cites Work

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• \(q\)-parametric Bleimann Butzer and Hahn operators
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• Korovkin-type theorems and applications
• On statistical approximation in spaces of continuous functions
• Korovkin-type approximation theory and its applications
• Some approximation theorems via statistical convergence.
• Statistical approximation properties of \(q\)-Baskakov-Kantorovich operators
• Some approximation properties of \(q\)-Durrmeyer operators
• Weighted simultaneous approximation with Baskakov type operators
• On the Durrmeyer type modification of the \(q\)-Baskakov type operators
• Statistical approximation by generalized Meyer-König and Zeller type operators
• Statistical approximation by positive linear operators
• Quantum calculus

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