The Durrmeyer variant of an operator defined by D.D. Stancu

DOI10.1016/j.amc.2015.02.026zbMath1391.41011OpenAlexW2043654776MaRDI QIDQ1635563

Mircea Ivan, Ulrich Abel, Radu Păltănea

Publication date: 7 June 2018

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.02.026

zbMATH Keywords

rate of convergenceasymptotic expansionsdegree of approximationapproximation by positive operatorsasymptotic approximations

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Approximation by positive operators (41A36)

Related Items (10)

Bézier variant of Bernstein–Durrmeyer blending-type operators ⋮ Approximation by Stancu-Durrmeyer type operators based on Pólya-Eggenberger distribution ⋮ Approximation by Durrmeyer variant of Cheney-Sharma Chlodovsky operators ⋮ Unnamed Item ⋮ A new kind of variant of the Kantorovich type modification operators introduced by D. D. Stancu ⋮ The Kantorovich variant of an operator defined by D. D. Stancu ⋮ Bézier-Bernstein-Durrmeyer type operators ⋮ GENERALIZED BERNSTEIN-KANTOROVICH OPERATORS OF BLENDING TYPE ⋮ \(q\)-analogue of a Kantorovitch variant of an operator defined by Stancu ⋮ Approximation of Bögel continuous functions and deferred weighted A-statistical convergence by Bernstein-Kantorovich type operators on a triangle

Cites Work

• The complete asymptotic expansionfor a general Durrmeyer variant of the Meyer-König and Zeller operators
• Complete asymptotic expansion for generalized Favard operators
• Local approximation by a variant of Bernstein-Durrmeyer operators
• The remainder in the approximation by a generalized Bernstein operator: A representation by a convex combination of second-order divided differences
• On the asymptotic approximation with bivariate operators of Bleimann, Butzer and Hahn
• Korovkin-type approximation theory and its applications
• The complete asymptotic expansion for the Meyer-König and Zeller operators
• Asymptotic approximation of functions and their derivatives by Müller's Gamma operators
• Local approximation by Beta operators
• On the asymptotic approximation with operators of Bleimann, Butzer and Hahn
• The complete asymptotic expansion for Bernstein-Durrmeyer operators with Jacobi weights
• Complete asymptotic expansion for multivariate Bernstein-Durrmeyer operators and quasi-interpolants
• Asymptotic approximation of functions and their derivatives by generalized Baskakov-Százs-durrmeyer operators
• Convergence Estimates in Approximation Theory
• The moments for the Meyer-König and Zeller operators
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