In this paper, we introduce Kantorovich type modification of (p, q)-Meyer-König-Zeller operators. We estimate rate of convergence of proposed operators using modulus of continuity and Lipschitz class functions. Further, we obtain the statistical convergence and local approximation results for these operators. In the last section, we estimate the rate of convergence of (p, q)-Meyer-König-Zeller Kantorovich operators by means of Matlab programming.
In this paper, we introduce Durrmeyer type modification of Meyer-König-Zeller operators based on (p, q)−integers. Rate of convergence of these operators are 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 last section, we show rate of convergence of (p, q)−Meyer-König-Zeller Durrmeyer operators for some functions by means of Matlab programming.
This paper is based on new generalization of q -analogue of the MKZ type operators using generating functions. We study approximation properties of the proposed operator using Korovkin type theorem. Further, we estimate the rate of convergence of these operators by using the modulus of continuity. In the last, we introduce and establish the uniform convergence of 2D -generalization of the q -MKZ operators using generating functions.
This paper introduced a generalization of mixed summation integral type operators with Szász and Baskakov Basis, so-called Szász Baskakov operator. Then the moment estimates of these operators have been obtained and the uniform convergence has been established. Further, the quantitative approximation and local approximation behavior of the operators has been studied using modulus of continuity and Lipschitz class function. Then, it has been proved that the rate of convergence of the proposed operators is better than their primitives. In the last section, r−th order generalization of modified operators has been introduced and their rate of convergence has been estimated.
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