Rate of convergence of generalized rational type Baskakov operators

DOI10.1016/J.MCM.2006.11.025zbMath1129.41009OpenAlexW2053655797MaRDI QIDQ2467140

Nurhayat İspir

Publication date: 18 January 2008

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2006.11.025

zbMATH Keywords

total variationbounded variationRate of convergencederivatives of bounded variationrational type Baskakov operators

Mathematics Subject Classification ID

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

Related Items (20)

Approximation on a new class of Szász-Mirakjan operators and their extensions in Kantorovich and Durrmeyer variants with applicable properties ⋮ Approximation properties by some modified Szasz-Mirakjan-Kantorovich operators ⋮ Generalized Baskakov-Szász type operators ⋮ Rate of convergence by Kantorovich-Szász type operators based on Brenke type polynomials ⋮ Approximation properties of Bezier-summation-integral type operators based on Polya-Bernstein functions ⋮ Rate of convergence of Lupas Kantorovich operators based on Polya distribution ⋮ Approximation for Generalization of Baskakov–Durrmeyer Operators ⋮ Approximation by Kantorovich form of modified Szász-Mirakyan operators ⋮ Approximation of Baskakov type Pólya-Durrmeyer operators ⋮ Approximation degree of a Kantorovich variant of Stancu operators based on Polya-Eggenberger distribution ⋮ Szász-Durrmeyer type operators based on Charlier polynomials ⋮ Szász-Durrmeyer operators involving Boas-Buck polynomials of blending type ⋮ Blending-type approximation by generalized Lupaş-Durrmeyer-type operators ⋮ Modified Bernstein-Kantorovich operators for functions of one and two variables ⋮ Approximation properties of generalized Szász-type operators ⋮ Degree of Approximation by Certain Genuine Hybrid Operators ⋮ Generalized Baskakov-Durrmeyer type operators ⋮ Degree of approximation of genuine Lupaş-Durrmeyer operators ⋮ Approximation by generalized positive linear Kantorovich operators ⋮ Generalized Baskakov Kantorovich operators

Cites Work

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• On the Bézier variant of generalized Kantorovich type Balazs operators
• Rate of convergence of Hermite-Fejér polynomials for functions with derivatives of bounded variation
• Rate of convergence of Bernstein polynomials for functions with derivatives of bounded variation
• Pointwise approximation of absolutely continuous functions by certain linear operators
• Rate of convergence of beta operators of second kind for functions with derivatives of bounded variation
• ON THE KANTOROVICH VARIANT OF GENERALIZED BERNSTEIN TYPE RATIONAL FUNCTIONS

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