The continuity in \(q\) of the Lupaş \(q\)-analogues of the Bernstein operators

DOI10.1016/j.jmaa.2022.126842MaRDI QIDQ6062978

Sofiya Ostrovska, Övgü Gürel Yilmaz, Mehmet Turan

Publication date: 6 November 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

operator normstrong operator topology\(q\)-integersuniform operator topologyLupaş \(q\)-analogue

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Rate of convergence, degree of approximation (41A25)

Cites Work

• Generating functions method for classical positive operators, their \(q\)-analogues and generalizations
• Generalized Bézier curves and surfaces based on Lupaş \(q\)-analogue of Bernstein operator
• The rate of convergence of Lupas \(q\)-analogue of the Bernstein operators
• Accurate computations with Lupaş matrices
• On the Lupaş \(q\)-analogue of the Bernstein operator
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