Voronovskaja type approximation theorem for \(q\)-Szász-beta operators

DOI10.1016/j.amc.2014.03.020zbMath1334.41037OpenAlexW2055944666MaRDI QIDQ272496

Ülkü Dinlemez, İsmet Yüksel

Publication date: 20 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.03.020

zbMATH Keywords

\(q\)-mixed operators\(q\)-Szász-beta operators\(q\)-Szász-Mirakjan-beta operatorsVoronovskaja type theorem

Mathematics Subject Classification ID

Difference operators (39A70) Difference equations, scaling ((q)-differences) (39A13) Approximation by positive operators (41A36) Basic hypergeometric functions (33D99)

Related Items

Rate of convergence of Szász-beta operators based on \(q\)-integers, Stancu type generalization of the \(q\)-Phillips operators, Voronovskaja Type Approximation Theorem for q-Szasz–Schurer Operators, Convergence of the \(q\)-Stancu-Szász-Beta type operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A note on the approximation by the \(q\)-hybrid summation integral type operators
• Korovkin-type approximation properties of bivariate \(q\)-Meyer-König and Zeller operators
• Convergence of the \(q\) analogue of Szász-Beta operators
• Some approximation properties by \(q\)-Szász-Mirakyan-Baskakov-Stancu operators
• On \(q\)-analogue of Bernstein-Schurer-Stancu operators
• On integral representations of \(q\)-gamma and \(q\)-beta functions
• The rate of convergence ofq-Durrmeyer operators for 0<q<1
• Applications of q-Calculus in Operator Theory
• Quantum calculus