A Kantorovich variant of a new type Bernstein-Stancu polynomials

DOI10.1016/j.amc.2012.02.017zbMath1348.41006OpenAlexW2013505609MaRDI QIDQ440744

Gürhan İçöz

Publication date: 19 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.amc.2012.02.017

zbMATH Keywords

rate of convergenceBernstein polynomialsBernstein-Stancu type polynomialsKantorovich-type generalization

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (14)

On the approximation by operators of Bernstein-Stancu types ⋮ Detection of thermal bridges from thermographic images by means of image processing approximation algorithms ⋮ The family of Bernstein-Kantorovich operators with shifted knots ⋮ Approximation by Durrmeyer type Bernstein-Stancu polynomials in movable compact disks ⋮ 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 ⋮ Pointwise approximation by a Durrmeyer variant of Bernstein-Stancu operators ⋮ Approximation by Kantorovich type \(q\)-Bernstein-Stancu operators ⋮ A Kantorovich variant of Lupaş-Stancu operators based on Pólya distribution with error estimation ⋮ Blending type approximation by modified Bernstein operators ⋮ \(q\)-analogue of a Kantorovitch variant of an operator defined by Stancu ⋮ Extended Bernstein-Kantorovich-Stancu Operators with Multiple Parameters and Approximation Properties ⋮ On the stability of some positive linear operators from approximation theory ⋮ Approximation of Bögel continuous functions and deferred weighted A-statistical convergence by Bernstein-Kantorovich type operators on a triangle

Cites Work

• Approximation properties of a new type Bernstein-Stancu polynomials of one and two variables
• Korovkin-type approximation theory and its applications
• On positive operators involving a certain class of generating functions
• THE DEGREE OF CONVERGENCE OF SEQUENCES OF LINEAR POSITIVE OPERATORS
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