Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)Khayyam Journal of Mathematics2423-47885120190101On Approximation by $(p,q)$-Meyer-König-Zeller Durrmeyer Operators1131248122310.22034/kjm.2019.81223ENHoneySharmaDepartment of Mathematics, Gulzar Group of Institutes, Punjab, India.0000-0002-0904-2245CheenaGuptaI K G Punjab Technical University, Punjab, India.RamapatiMauryaI K G Punjab Technical University, Punjab, India;
Department of Mathematics, Manav Rachna University, Haryana, India.Journal Article20180504In this paper, we introduce a Durrmeyer type modification of Meyer-König-Zeller operators based on $(p,q)$-integers. The rate of convergence of these operators is explored with the help of Korovkin type theorems. We establish some direct results for proposed operators. We also obtain statistical approximation properties of operators. In the last section, we show the rate of convergence of $(p,q)$-Meyer-König-Zeller Durrmeyer operators for some functions by means of MATLAB programming.http://www.kjm-math.org/article_81223_7fe57d6463c07a48bf3f40586cfbc49b.pdf