Comparison of two-parameter Bernstein operator and Bernstein-Durrmeyer variants

DOI10.1007/S41980-018-0101-2zbMath1409.41007OpenAlexW2797909817MaRDI QIDQ1734157

Hasan Erbay, Ali Aral

Publication date: 22 March 2019

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-018-0101-2

zbMATH Keywords

\((p,q)\)-Bernstein operator\((p,q)\)-Bernstein-Durrmeyer operator\((p,q)\)-genuine Bernstein-Durrmeyer operator

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35)

Cites Work

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• \((p,q)\)-genuine Bernstein Durrmeyer operators
• New estimates for the differences of positive linear operators
• Algorithms for polynomials in Bernstein form
• Some approximation results by \((p, q)\)-analogue of Bernstein-Stancu operators
• Approximation by \((p,q)\)-Baskakov-Beta operators
• On Kantorovich modification of \((p,q)\)-Bernstein operators
• \(q\)-Bernstein polynomials and Bézier curves
• Solutions of differential equations in a Bernstein polynomial basis
• Approximation with positive linear operators and linear combinations
• Generalized \(q\)-Bernstein-Schurer operators and some approximation theorems
• \((p,q)\)-type beta functions of second kind
• Representations of two parameter quantum algebras and \(p,q\)-special functions
• Normal ordering for deformed boson operators and operator-valued deformed Stirling numbers
• Applications of q-Calculus in Operator Theory
• Convergence Estimates in Approximation Theory

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