Higher-order Bernstein-Kantorovich operators

DOI10.1007/s40010-022-00804-wzbMath1515.41005OpenAlexW4317107708MaRDI QIDQ6103555

Vijay Gupta, Anjali

Publication date: 5 June 2023

Published in: Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40010-022-00804-w

zbMATH Keywords

asymptotic formulamoment generating functionerror estimationshigher-order Bernstein-Kantorovich operators

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36) Approximation by other special function classes (41A30)

Cites Work

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• On \(q\)-analogue of a complex summation-integral type operators in compact disks
• The complete asymptotic expansion for Bernstein operators
• Local approximation by a variant of Bernstein-Durrmeyer operators
• Kantorovic operators of second order
• \((p,q)\)-beta functions and applications in approximation
• Higher order Lupaş-Kantorovich operators and finite differences
• Higher order Kantorovich-type Szász-Mirakjan operators
• Linear prediction and simultaneous approximation by \(m\)-th order Kantorovich type sampling series
• Higher order Kantorovich operators based on inverse Pólya-Eggenberger distribution
• The Bernstein Voronovskaja-type theorem for positive linear approximation operators
• Quantitative convergence theorems for a class of Bernstein–Durrmeyer operators preserving linear functions
• Kantorovich Operators of Order k
• Approximation by k-th order modifications of Szász—Mirakyan operators

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