Some approximation properties of a Durrmeyer variant of q‐Bernstein–Schurer operators

DOI10.1002/mma.3949zbMath1354.41013OpenAlexW2342350776MaRDI QIDQ5507188

Voichiţa Adriana Radu, Ana-Maria Acu, Daniel Florin Sofonea, Carmen-Violeta Muraru

Publication date: 16 December 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3949

zbMATH Keywords

rate of convergencestatistical convergencemoduli of continuity\(q\)-integers\(q\)-Durrmeyer-Bernstein-Schurer operators

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (17)

Blending type approximation by q‐generalized Boolean sum of Durrmeyer type ⋮ Approximation by \((p,q)\)-Lupaş-Schurer-Kantorovich operators ⋮ Convergence properties of certain positive linear operators ⋮ Approximation properties of modified q-Bernstein-Kantorovich operators ⋮ Rate of convergence of Stancu type modified \(q\)-Gamma operators for functions with derivatives of bounded variation ⋮ q-generalized Bernstein-Durrmeyer polynomials ⋮ Some bivariate Durrmeyer operators based on q-integers ⋮ On certain GBS-Durrmeyer operators based on $q$-integers ⋮ Unnamed Item ⋮ \(q\)-Bernstein-Schurer-Durrmeyer type operators for functions of one and two variables ⋮ Blending type approximation by GBS operators of generalized Bernstein-Durrmeyer type ⋮ Approximation by Cheney-Sharma Chlodovsky operators ⋮ Degree of approximation for bivariate generalized Bernstein type operators ⋮ On approximation to discrete \(q\)-derivatives of functions via \(q\)-Bernstein-Schurer operators ⋮ Approximation of differentiable and not differentiable signals by the first derivative of sampling Kantorovich operators ⋮ Approximation by modified \(U^{\rho }_n\) operators ⋮ Approximation properties of certain Bernstein-Stancu type operators

Cites Work

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• ON STATISTICAL APPROXIMATION PROPERTIES OF MODIFIED q-BERNSTEIN-SCHURER OPERATORS
• On Approximation Properties of a New Type of Bernstein-Durrmeyer Operators
• Applications of q-Calculus in Operator Theory
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• Weighted approximation by new Bernstein-Chlodowsky-Gadjiev operators
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