On statistical approximation of a general class of positive linear operators extended in \(q\)-calculus

DOI10.1016/j.amc.2009.08.023zbMath1179.41025OpenAlexW2026950350MaRDI QIDQ1039705

Cristina Radu

Publication date: 23 November 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.08.023

zbMATH Keywords

statistical convergenceweighted space\(q\)-calculusBaskakov operatorBohman-Korovkin type theorem

Mathematics Subject Classification ID

Approximation by positive operators (41A36)

Related Items

Generalized Baskakov-Szász type operators, Stancu type generalization of the \(q\)-Phillips operators, Approximation with an arbitrary order by modified Baskakov type operators, 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, On the q-analogues for some Kantorovich type linear operators, Approximation by the \(q\)-Szász-Mirakjan operators, On certain Durrmeyer type \(q\) Baskakov operators, On the rate of approximation by \(q\) modified beta operators, On wavelets Kantorovich \((p,q)\)-Baskakov operators and approximation properties, Weighted statistical convergence and its application to Korovkin type approximation theorem, On \(q\)-Baskakov-Mastroianni operators, Statistical approximation properties of high order operators constructed with the Chan-Chyan-Srivastava polynomials, Shape-preserving and convergence properties for the \(q\)-Szász-Mirakjan operators for fixed \(q \in(0,1)\), An extension based on \(qR\)-integral for a sequence of operators, Quantitative convergence results for a family of hybrid operators, Szász-Durrmeyer type operators based on Charlier polynomials, Convergence of the \(q\) analogue of Szász-Beta operators, Unnamed Item, \((p , q)\)-generalization of Szász-Mirakjan operators and their approximation properties, On the construction of q-analogues for some positive linear operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Korovkin-type approximation properties of bivariate \(q\)-Meyer-König and Zeller operators
• The \(q\)-derivate and applications to \(q\)-Sz'asz Mirakyan operators
• A generalization of Szász-Mirakyan operators based on \(q\)-integers
• \(q\)-Bernstein polynomials and their iterates.
• Some approximation theorems via statistical convergence.
• On the Lupaş \(q\)-analogue of the Bernstein operator
• Some approximation properties of \(q\)-Durrmeyer 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