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A Note on New Construction of Meyer-Konig and Zeller Operators and Its Approximation Properties
(Mdpi, 2021) Cai, Qing-Bo; Ansari, Khursheed J.; Usta, Fuat
The topic of approximation with positive linear operators in contemporary functional analysis and theory of functions has emerged in the last century. One of these operators is Meyer-Konig and Zeller operators and in this study a generalization of Meyer-Konig and Zeller type operators based on a function tau by using two sequences of functions will be presented. The most significant point is that the newly introduced operator preserves {1,tau,tau 2} instead of classical Korovkin test functions. Then asymptotic type formula, quantitative results, and local approximation properties of the introduced operators are given. Finally a numerical example performed by MATLAB is given to visualize the provided theoretical results.