On the rate of convergence of the Durrmeyer operator for functions of bounded variation

DOI10.1016/0021-9045(87)90033-5zbMath0666.41017OpenAlexW2056774975MaRDI QIDQ1116389

Shunsheng Guo

Publication date: 1987

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(87)90033-5

zbMATH Keywords

rate of convergenceestimateDurrmeyer operator

Mathematics Subject Classification ID

Approximation by positive operators (41A36)

Related Items (16)

Approximation properties by some modified Szasz-Mirakjan-Kantorovich operators ⋮ Rate of Convergence of Chlodowsky-Type Bernstein Operators for Functions of Bounded Variation ⋮ Two families of Bernstein-Durrmeyer type operators ⋮ Bézier variant of the generalized Baskakov Kantorovich operators ⋮ A certain family of summation-integral type operators ⋮ On the rate of convergence of the generalized Durrmeyer type operators for functions of bounded variation ⋮ Local approximation by a variant of Bernstein-Durrmeyer operators ⋮ Szász-Durrmeyer operators involving Boas-Buck polynomials of blending type ⋮ Unnamed Item ⋮ Some properties of \(q\)-Bernstein-Durrmeyer operators ⋮ Bounds for Bernstein basis functions and Meyer-König and Zeller basis functions ⋮ Szász type operators involving Charlier polynomials of blending type ⋮ Rates of approximation of bounded variation functions by two generalized Meyer-König and Zeller type operators ⋮ A new estimate on the rate of convergence of Durrmeyer--Bézier operators ⋮ Upper Bounds for Bernstein Basis Functions ⋮ Generalized Baskakov Kantorovich operators

Cites Work

• On the rate of convergence of Bernstein polynomials of functions of bounded variation
• Sur l'approximation de fonctions intégrables sur l'interval-0,1-ferme par des polynômes de Bernstein modifies
• Unnamed Item
• Unnamed Item

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