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    Generalized Baskakov type operators
    (Walter De Gruyter Gmbh, 2017) Erencin, Aysegul; Olgun, Ali; Tasdelen, Fatma
    In this paper, we introduce a generalization of Baskakov operators based on a function rho. We prove a weighted Korovkin type theorem and compute the rate of convergence via weighted modulus of continuity for these operators. Also we give a Voronovskaya type asymptotic formula.
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    Kantrovich Type Generalization of Meyer-Konig and Zeller Operators via Generating Functions
    (Ovidius Univ Press, 2013) Olgun, Ali; Ince, H. Gul; Tasdelen, Fatma
    In the present paper, we study a Kantorovich type generalization of Meyer-Konig and Zeller type operators via generating functions. Using Korovkin type theorem we first give approximation properties of these operators defined on the space C [0, Lambda], 0 < Lambda < 1. Secondly, we compute the rate of convergence of these operators by means of the modulus of continuity and the elements of the modified Lipschitz class. Finally, we give an r-th order generalization of these operators in the sense of Kirov and Popova and we obtain approximation properties of them.