q-Voronovskaya type theorems forq-Baskakov operators

DOI10.1002/mma.3784zbMath1347.41030OpenAlexW2154787246MaRDI QIDQ3188503

Gulsum Ulusoy, Tuncer Acar

Publication date: 11 August 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3784

zbMATH Keywords

weighted modulus of continuityVoronovskaya type theorem\(q\)-Baskakov operators\(q\)-Grüss-Voronovskaya-type theorem

Mathematics Subject Classification ID

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

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Cites Work

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• The new forms of Voronovskaya's theorem in weighted spaces
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• On the convergence of derivatives of Bernstein approximation
• New estimates in Voronovskaja's theorem
• The moments for \(q\)-Bernstein operators in the case \(0<q<1\)
• General Voronovskaya and asymptotic theorems in simultaneous approximation
• Asymptotic formulas for generalized Szász-Mirakyan operators
• Grüss-type and Ostrowski-type inequalities in approximation theory
• Inverse result in simultaneous approximation by Baskakov-Durrmeyer-Stancu operators
• Quantum integral inequalities on finite intervals
• Approximation by modified Szász-Durrmeyer operators
• Voronovskaja's theorem revisited
• Generalized q-Baskakov operators
• Gr\"uss and Gr\"uss-Voronovskaya-type estimates for some Bernstein-type polynomials of real and complex variables
• Applications of q-Calculus in Operator Theory
• On Pointwise Convergence ofq-Bernstein Operators and Theirq-Derivatives

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