On certain \(q\)-analogue of Szász Kantorovich operators

DOI10.1007/s12190-010-0441-4zbMath1294.41015OpenAlexW2125056428MaRDI QIDQ2251744

Vijay Gupta, Nazim Idris Mahmudov

Publication date: 15 July 2014

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

Full work available at URL: https://doi.org/10.1007/s12190-010-0441-4

zbMATH Keywords

approximationmodulus of continuity\(q\)-gamma function\(q\)-integers\(q\)-Szász-Kantorovich operators

Mathematics Subject Classification ID

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

Related Items (15)

Some approximation results on Bernstein-Schurer operators defined by \((p,q)\)-integers ⋮ On weighted statistical convergence based on \((p,q)\)-integers and related approximation theorems for functions of two variables ⋮ Dunkl generalization of \(q\)-Szász-Mirakjan Kantorovich operators which preserve some test functions ⋮ Stancu-Schurer-Kantorovich operators based on \(q\)-integers ⋮ Some approximation results by \((p, q)\)-analogue of Bernstein-Stancu operators ⋮ Jain-Baskakov operators and its different generalization ⋮ Voronovskaja Type Approximation Theorem for q-Szasz–Schurer Operators ⋮ On some properties of the bibasic Humbert hypergeometric functions \(\Xi_1\) and \(\Xi_2\) ⋮ Generalized \(q\)-Bernstein-Schurer operators and some approximation theorems ⋮ On \((p, q)\)-analogue of Bernstein operators ⋮ Approximation by modified Szász-Kantorovich type operators based on brenke type polynomials ⋮ Modified Stancu type Dunkl generalization of Szász-Kantorovich operators ⋮ Some estimations of summation-integral-type operators ⋮ On difference of operators with applications to Szász type operators ⋮ Unnamed Item

Cites Work

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• A generalization of Szász-Mirakyan operators based on \(q\)-integers
• The moments for \(q\)-Bernstein operators in the case \(0<q<1\)
• Korovkin-type theorems and applications
• Korovkin-type approximation theory and its applications
• \(q\)-Bernstein polynomials and their iterates.
• Korovkin-type theorem and application
• Some approximation properties of \(q\)-Durrmeyer operators
• Weighted simultaneous approximation with Baskakov type operators
• The rate of convergence of \(q\)-Bernstein polynomials for \(0<q<1\)
• Global approximation properties of modified SMK operators

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