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A. Olgun,MÜZEYYEN ÖZHAVZALI 장전수학회 2011 Advanced Studies in Contemporary Mathematics Vol.21 No.2
The purpose of this study is to investigate approximation behaviour of the generalized Kantorovich-type operators by multiple generating functions. For this aim, rstly, we introduce bivariate gener-alization of Kantorovich-type operators and study their approximation behaviour with the help of a Korovkin type theorem. Secondly, we com-pute the rate of convergence of these operators by means of the modules of continuity and the elements of Lipschitz class. Also, we give the r-th order generalization of these operators. In the last part, we give some applications to the di¤erential equations.