\(q\)-Szász-Mirakyan-Kantorovich type operators preserving some test functions
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Publication:548417
DOI10.1016/J.AML.2011.04.001zbMath1251.41008OpenAlexW1967732216MaRDI QIDQ548417
Publication date: 28 June 2011
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2011.04.001
modulus of continuity\(q\)-integers\(q\)-Szász-Mirakyan operatorsSzász-Mirakyan-Kantorovich operators
Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Approximation by positive operators (41A36)
Related Items (14)
Rate of convergence of Szász-beta operators based on \(q\)-integers ⋮ Approximation properties of modified \((p,q)\)-Szász-Mirakyan-Kantorovich operators ⋮ Dunkl generalization of \(q\)-Szász-Mirakjan Kantorovich operators which preserve some test functions ⋮ Statistical approximation by Kantorovich-type discrete \(q\)-beta operators ⋮ Quantitative global estimates for generalized double Szász-Mirakjan operators ⋮ Voronovskaja Type Approximation Theorem for q-Szasz–Schurer Operators ⋮ Dunkl generalization of Kantorovich type Szász–Mirakjan operators via q-calculus ⋮ Statistical approximation properties of modified Durrmeyer q-Baskakov type operators with two parameters α and β ⋮ \(q\)-Lupas Kantorovich operators based on Polya distribution ⋮ On modified Dunkl generalization of Szász operators via \(q\)-calculus ⋮ Improved approximation and error estimations by King type \((p, q)\)-Szász-Mirakjan Kantorovich operators ⋮ Stancu-type generalization of Dunkl analogue of Szász-Kantorovich operators ⋮ Statistical Approximation of the q-Bernstein-Durrmeyer Type Operators ⋮ Szász-Baskakov type operators based on \(q\)-integers
Cites Work
- Weighted approximation by \(q\)-Szász-King type operators
- The \(q\)-derivate and applications to \(q\)-Sz'asz Mirakyan operators
- Linear operators that preserve some test functions
- Korovkin-type approximation theory and its applications
- Positive linear operators which preserve \(x^2\)
- Statistical approximation properties of \(q\)-Baskakov-Kantorovich operators
- The inequalities for some types of \(q\)-integrals
- Szász-Mirakjan type operators providing a better error estimation
- Rate of convergence of the Szasz-Kantorovitch-Bezier operators for bounded variation functions
- Generalization of Bernstein's polynomials to the infinite interval
- MKZ Type Operators Providing a Better Estimation on [1/2, 1)
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