Approximation properties of Kantorovich type \(q\)-Balázs-Szabados operators

DOI10.1515/dema-2019-0002zbMath1409.41009OpenAlexW2910731916MaRDI QIDQ1736440

Esma Yildiz Özkan

Publication date: 26 March 2019

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2019-0002

zbMATH Keywords

rate of convergence\(q\)-calculusBalázs-Szabados operatorsPeetre's K-functional

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Approximation by positive operators (41A36)

Related Items (4)

Inequalities and numerical results of approximation for bivariate $q$-Baskakov-Durrmeyer type operators including q-improper integral ⋮ Approximation by Fuzzy $(p,q)$-Bernstein-Chlodowsky Operators ⋮ Some approximation properties of new Kantorovich type \(q\)-analogue of Balázs-Szabados operators ⋮ Some approximation properties of new \(( p,q ) \)-analogue of Balázs-Szabados operators

Cites Work

• On Kantorovich modification of \((p,q) \)-Baskakov operators
• Quantitative \(q\)-Voronovskaya and \(q\)-Grüss-Voronovskaya-type results for \(q\)-Szász operators
• Statistical approximation properties of modified \(q\)-Stancu-Beta operators
• On statistical approximation properties of Kantorovich type \(q\)-Bernstein operators
• Genuine modified Bernstein-Durrmeyer operators
• Approximation by \((p,q)\)-Baskakov-Durrmeyer-Stancu operators
• Statistical approximation properties of \(q\)-Baskakov-Kantorovich operators
• Statistical approximation properties of \(q\)-Bleimann, Butzer and Hahn operators
• Some statistical approximation properties of Kantorovich-type \(q\)-Bernstein-Stancu operators
• Weighted simultaneous approximation with Baskakov type operators
• Construction of a new family of Bernstein-Kantorovich operators
• Approximation by Bernstein type rational functions. II
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• Applications of q-Calculus in Operator Theory
• Approximation by Baskakov-Szász-Stancu Operators Preserving Exponential Functions
• (p,q)‐Generalization of Szász–Mirakyan operators
• Sur la convergence statistique
• Quantum calculus
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