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. , The Second Moment for the Meyer-König and Zeller Operators , J. Approx. Theory 40 ( 1984 ), 261 – 273 . MR 85f :41021 [2] Bleimann , G

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The main object of this paper is to define the q -Laguerre type positive linear operators and investigate the approximation properties of these operators. The rate of convegence of these operators are studied by using the modulus of continuity, Peetre’s K -functional and Lipschitz class functional. The estimation to the difference | M n +1, q ( ƒ ; χ )− M n , q ( ƒ ; χ )| is also obtained for the Meyer-König and Zeller operators based on the q -integers [2]. Finally, the r -th order generalization of the q -Laguerre type operators are defined and their approximation properties and the rate of convergence of this r -th order generalization are also examined.

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In this study we deal with the weighted uniform convergence of the Meyer-König and Zeller type operators with endpoint or inner singularities.

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Abel, U., Gupta, V. and Ivan, M. , On the rate of convergence of a Durrmeyer variant of the Meyer-König and Zeller operators, Arch. Inequal. Appl. , 1 (2003), 1–9. MR 1992261 ( 2004d :41038

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In the present paper, we study a Kantorovich type generalization of Agratini's operators. Using A-statistical convergence, we will give the approximation properties of Agratini's operators and their Kantorovich type generalizations. We also give the rates of A-statistical convergence of these operators.

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