On statistical approximation properties of the Kantorovich type Lupaş operators

DOI10.1016/J.MCM.2011.10.059zbMath1255.41004OpenAlexW2019237689MaRDI QIDQ1933935

Kadir Kanat, Ogün Doğru

Publication date: 27 January 2013

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

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.10.059

zbMATH Keywords

modulus of continuityBernstein operatorsKorovkin type approximation theoremq-Bernstein operators

Mathematics Subject Classification ID

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

Related Items (10)

On statistical approximation properties of \(q\)-Baskakov-Szász-Stancu operators ⋮ Statistical approximation by Kantorovich-type discrete \(q\)-beta operators ⋮ Stancu type generalization of \(q\)-Favard-Szàsz operators ⋮ On the q-analogues for some Kantorovich type linear operators ⋮ Approximation properties and error estimation of q-Bernstein shifted operators ⋮ Statistical approximation properties of modified Durrmeyer q-Baskakov type operators with two parameters α and β ⋮ A certain family of mixed summation-integral-type Lupaş-Phillips-Bernstein operators ⋮ On approximation properties of Baskakov-Schurer-Szász operators ⋮ A new kind of bi-variate \(\lambda\)-Bernstein-Kantorovich type operator with shifted knots and its associated GBS form ⋮ A short note on a \(q\)-analog of modified Stancu-Beta operators

Cites Work

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• On statistical approximation properties of Kantorovich type \(q\)-Bernstein operators
• Statistical approximation by a modification of \(q\)-Meyer-König and Zeller operators
• Some approximation theorems via statistical convergence.
• Integral inequalities in \(q\)-calculus
• The inequalities for some types of \(q\)-integrals
• On the Lupaş \(q\)-analogue of the Bernstein operator
• Bernsteinsche Potenzreihen
• Bernstein Power Series
• Sur la convergence statistique

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