Approximation theorems by Meyer-König and Zeller type operators

M. Ali Özarslan and Oktay Duman

Chaos, Solitons & Fractals, 2009, vol. 41, issue 1, 451-456

Abstract: This paper is mainly connected with the approximation properties of Meyer-König and Zeller (MKZ) type operators. We first introduce a general sequence of MKZ operators based on q-integers and then obtain a Korovkin-type approximation theorem for these operators. We also compute their rates of convergence by means of modulus of continuity and the elements of Lipschitz class functionals. Furthermore, we give an rth order generalization of our operators in order to get some explicit approximation results.

Date: 2009
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:1:p:451-456

DOI: 10.1016/j.chaos.2008.02.006

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