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Öğe Approximation behaviour of the generalized kantorovich-type operators by multiple generating functions(2011) Ali O.; Müzeyyen Ö.The purpose of this study is to investigate approximation behaviour of the generalized Kantorovich-type operators by multiple generating functions. For this aim, firstly, we introduce bivariate generalization of Kantorovich-type operators and study their approximation behaviour with the help of a Korovkin type theorem. Secondly, we compute 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 differential equations.
