\(q\)-Bernstein-Schurer-Kantorovich operators

DOI10.1186/1029-242X-2013-444zbMath1293.41012OpenAlexW2127165445WikidataQ59298673 ScholiaQ59298673MaRDI QIDQ2017065

Tuba Vedi, Mehmet Ali Özarslan

Publication date: 25 June 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2013-444

zbMATH Keywords

modulus of continuitypositive linear operators\(q\)-analysis\(q\)-Bernstein operators\(q\)-integral operator

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Related Items (13)

Approximation properties of \(q\)-Kantorovich-Stancu operator ⋮ Towards the best constant in front of the Ditzian-Totik modulus of smoothness ⋮ Bernstein-Schurer-Kantorovich operators based on \(q\)-integers ⋮ Stancu-Schurer-Kantorovich operators based on \(q\)-integers ⋮ \(q\)-Bernstein-Schurer-Kantorovich type operators ⋮ \(q\)-Bernstein-Schurer-Durrmeyer type operators for functions of one and two variables ⋮ A genuine family of Bernstein-Durrmeyer type operators based on Polya basis functions ⋮ Chlodowsky variant of \(q\)-Bernstein-Schurer-Stancu operators ⋮ Approximation of Schurer type \(q\)-Bernstein-Kantorovich operators ⋮ Chlodowsky-type \(q\)-Bernstein-Stancu-Kantorovich operators ⋮ On \((p,q)\)-analogue of two parametric Stancu-beta operators ⋮ \(q\)-analogue of a Kantorovitch variant of an operator defined by Stancu ⋮ Approximation properties of bivariate extension of \(q\)-Bernstein-Schurer-Kantorovich operators

Cites Work

• On Stancu type generalization of \(q\)-Baskakov operators
• Statistical approximation results for Kantorovich-type operators involving some special polynomials
• On certain \(q\)-Durrmeyer type operators
• \(q\)-Bernstein polynomials and their iterates.
• Saturation of convergence for \(q\)-Bernstein polynomials in the case \(q\geqslant 1\)
• Global approximation properties of modified SMK operators
• The Campanato, Morrey and Hölder spaces on spaces of homogeneous type

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