Parametric generalization of the Meyer-König-Zeller operators

Melek Sofyalıoğlu, Kadir Kanat and Bayram Çekim

Chaos, Solitons & Fractals, 2021, vol. 152, issue C

Abstract: The current paper deals with the parametric modification of Meyer-König-Zeller operators which preserve constant and Korovkin’s other test functions in the form of (x1−x)u, u=1,2 in limit case. The uniform convergence of the newly defined operators is investigated. The rate of convergence is studied by means of the modulus of continuity and by the help of Peetre-K functionals. Also, a Voronovskaya type asymptotic formula is given. Finally, some numerical examples are illustrated to show the effectiveness of the newly constructed operators for computing the approximation of function.

Keywords: Meyer-König-Zeller operators; Parametric generalization; Modulus of continuity; Voronovskaya-type theorem (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921007712

DOI: 10.1016/j.chaos.2021.111417

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