King type modification of Meyer-König and Zeller operators based on the \(q\)-integers

DOI10.1016/j.mcm.2009.07.003zbMath1185.41020OpenAlexW2162222308MaRDI QIDQ970025

Ogün Doğru, Mediha Örkcü

Publication date: 8 May 2010

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2009.07.003

zbMATH Keywords

modulus of continuity\(q\)-MKZ operatorsMKZ operatorsthe Korovkin type approximation theorem

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Approximation by positive operators (41A36)

Related Items

Modified approximation and error estimation for King's type \((p, q)\)-BBH operators ⋮ The rate of approximation of functions in an infinite interval by positive linear operators ⋮ Approximation by a kind of complex modified \(q\)-Durrmeyer type operators in compact disks ⋮ Jain-Baskakov operators and its different generalization ⋮ Unnamed Item ⋮ Some approximation results for Durrmeyer operators ⋮ Faster rate of convergence on Srivastava-Gupta operators ⋮ Statistical approximation properties of King-type modification of Lupaş operators ⋮ A better error estimation on Balázs operators

Cites Work

• Linear operators that preserve some test functions
• Korovkin-type approximation theory and its applications
• Positive linear operators which preserve \(x^2\)
• Interpolation and approximation by polynomials
• Szász-Mirakjan type operators providing a better error estimation
• Bernsteinsche Potenzreihen
• Bernstein Power Series
• Unnamed Item
• Unnamed Item
• Unnamed Item

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