Two families of Bernstein-Durrmeyer type operators

DOI10.1016/j.amc.2014.09.094zbMath1338.41013OpenAlexW1976667392MaRDI QIDQ298458

Daniel Cárdenas-Morales, Vijay Gupta

Publication date: 20 June 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.09.094

zbMATH Keywords

Bernstein polynomialsmodulus of continuitybounded variationasymptotic formulaBernstein-Durrmeyer type operatorspolya distribution

Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35)

Related Items (13)

Asymptotic properties of Bernstein-Durrmeyer operators ⋮ Approximation properties of Lupas-Kantorovich operators based on Polya distribution ⋮ On Approximation Properties of Generalized Lupas Type Operators Based on Polya Distribution with Pochhammer k-Symbol ⋮ Some smoothness properties of the Lupaş-Kantorovich type operators based on Pólya distribution ⋮ Approximation by Stancu-Durrmeyer type operators based on Pólya-Eggenberger distribution ⋮ Quantitative-Voronovskaya and Grüss-Voronovskaya type theorems for Szász-Durrmeyer type operators blended with multiple Appell polynomials ⋮ λ-Bernstein Operators Based on Pólya Distribution ⋮ 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 ⋮ Approximation by Durrmeyer Type Operators Preserving Linear Functions ⋮ Approximation properties of generalized Szász-type operators ⋮ GENERALIZED BERNSTEIN-KANTOROVICH OPERATORS OF BLENDING TYPE ⋮ A new kind of bi-variate \(\lambda\)-Bernstein-Kantorovich type operator with shifted knots and its associated GBS form

Cites Work

• Asymptotic formulae via a Korovkin-type result
• Local approximation by a variant of Bernstein-Durrmeyer operators
• On the rate of convergence of the Durrmeyer operator for functions of bounded variation
• Sur l'approximation de fonctions intégrables sur l'interval-0,1-ferme par des polynômes de Bernstein modifies
• The genuine Bernstein-Durrmmeyer operator on a simplex
• Positive linear operators which preserve \(x^2\)
• Approximation properties of Bernstein-Durrmeyer type operators
• On simultaneous approximation for some modified Bernstein-type operators
• A generalised beta integral and the limit of the Bernstein--Durrmeyer operator with Jacobi weights
• Lupaş-Durrmeyer operators based on Polya distribution
• On genuine Bernstein-Durrmeyer operators
• Certain family of Durrmeyer type operators
• THE DEGREE OF CONVERGENCE OF SEQUENCES OF LINEAR POSITIVE OPERATORS
• Convergence Estimates in Approximation Theory
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