Özarslan, M. Ali; Duman, Oktay MKZ type operators providing a better estimation on \([1/2,1)\). (English) Zbl 1132.41318 Can. Math. Bull. 50, No. 3, 434-439 (2007). Summary: We introduce a modification of the Meyer-König and Zeller (MKZ) operators which preserve the test functions \(f_0(x) = 1\) and \(f_2(x)= x^2\), and we show that this modification provides a better estimation than the classical MKZ operators on the interval \([1/2, 1)\) with respect to the modulus of continuity and the Lipschitz class functionals. Furthermore, we present the \(r\)-th order generalization of our operators and study their approximation properties. Cited in 1 ReviewCited in 19 Documents MSC: 41A25 Rate of convergence, degree of approximation 41A36 Approximation by positive operators Keywords:Korovkin type approximation theorem, modulus of continuity, Lipschitz class functionals PDFBibTeX XMLCite \textit{M. A. Özarslan} and \textit{O. Duman}, Can. Math. Bull. 50, No. 3, 434--439 (2007; Zbl 1132.41318) Full Text: DOI