Cai, Qing-BoAnsari, Khursheed J.Usta, Fuat2023-07-262023-07-2620212227-7390https://doi.org/10.3390/math9243275https://hdl.handle.net/20.500.12684/13242The 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.en10.3390/math9243275info:eu-repo/semantics/openAccessMeyer-Konig And Zeller Operators; Modulus Of Continuity; Shape Preserving Approximation; Voronovskaya Theorem; Korovkin Type TheoremA Note on New Construction of Meyer-Konig and Zeller Operators and Its Approximation PropertiesArticle9242-s2.0-85121299700WOS:000736332200001Q2Q1