Some approximation results on two parametric \(q\)-Stancu-beta operators

DOI10.1007/s40840-017-0499-3zbMath1426.41029OpenAlexW2612913292MaRDI QIDQ2421374

Mohammad Mursaleen, Khursheed J. Ansari

Publication date: 17 June 2019

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-017-0499-3

zbMATH Keywords

modulus of continuity\(K\)-functionalweighted approximationVoronovskaja-type theorem\(q\)-beta integralrate of approximation\(q\)-analogue of Stancu-beta operators

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Cites Work

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• Statistical approximation properties of modified \(q\)-Stancu-Beta operators
• On the analogue of Stancu-beta operators
• Approximation of \(q\)-Stancu-Beta operators which preserve \(x^2\)
• Approximation by \( q \) Baskakov beta operators
• Generalized \(q\)-Bernstein-Schurer operators and some approximation theorems
• On integral representations of \(q\)-gamma and \(q\)-beta functions
• Approximation properties for King's type modified q -Bernstein-Kantorovich operators
• Approximation Properties For Modifiedq-Bernstein-Kantorovich Operators
• On Korovkin Type Theorem in the Space of Locally Integrable Functions
• Applications of q-Calculus in Operator Theory
• Quantum calculus