Stancu-Schurer-Kantorovich operators based on \(q\)-integers

DOI10.1016/J.AMC.2015.03.032zbMath1390.41027OpenAlexW1981587563MaRDI QIDQ1636913

Ana-Maria Acu

Publication date: 7 June 2018

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.03.032

zbMATH Keywords

rate of convergencemodulus of continuity\(q\)-Stancu-Kantorovich operatorsVoronovskaja theorem

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Approximation by positive operators (41A36)

Related Items (19)

Approximation properties of \(\lambda\)-Kantorovich operators ⋮ Approximation by generalized Kantorovich sampling type series ⋮ Some approximation properties of \((p,q)\)-Bernstein operators ⋮ Approximation properties of modified q-Bernstein-Kantorovich operators ⋮ \(q\)-Bernstein-Schurer-Kantorovich type operators ⋮ Blending type approximation by bivariate generalized Bernstein type operators ⋮ 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 ⋮ Weighted Statistical Relative Invariant Mean in Modular Function Spaces with Related approximation Results ⋮ Approximation of functions by a new family of generalized Bernstein operators ⋮ A new kind of Bernstein-Schurer-Stancu-Kantorovich-type operators based on \(q\)-integers ⋮ On the approximation properties of \(q\)-analogue bivariate \(\lambda\)-Bernstein type operators ⋮ GENERALIZED BERNSTEIN-KANTOROVICH OPERATORS OF BLENDING TYPE ⋮ Approximation on parametric extension of Baskakov-Durrmeyer operators on weighted spaces ⋮ Direct and inverse results for Kantorovich type exponential sampling series ⋮ \(q\)-analogue of a Kantorovitch variant of an operator defined by Stancu ⋮ Approximation properties of certain Bernstein-Stancu type operators ⋮ Extended Bernstein-Kantorovich-Stancu Operators with Multiple Parameters and Approximation Properties ⋮ Some approximation properties of a Durrmeyer variant of q‐Bernstein–Schurer operators

Cites Work

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• Durrmeyer type modification of generalized Baskakov operators
• On a sequence of linear and positive operators
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• \(q\)-Bernstein-Schurer-Kantorovich operators
• On certain \(q\)-analogue of Szász Kantorovich operators
• On a \(q\)-analogue of Stancu operators
• Some statistical approximation properties of Kantorovich-type \(q\)-Bernstein-Stancu operators
• On \(q\)-analogue of Bernstein-Schurer-Stancu operators
• Some approximation properties of \(q\)-Durrmeyer operators
• ON STATISTICAL APPROXIMATION PROPERTIES OF MODIFIED q-BERNSTEIN-SCHURER OPERATORS
• Applications of q-Calculus in Operator Theory
• Approximation theorems for q-Bernstein-Kantorovich operators
• Sur la convergence statistique

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