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Dunkl generalization of q-Szász-Mirakjan Kantorovich operators which preserve some test functions

Dunkl generalization of q-Szász-Mirakjan Kantorovich operators which preserve some test functions

In this paper we introduce q-Szász-Mirakjan-Kantorovich operators generated by a Dunkl generalization of the exponential function and we propose two different modifications of the q-Szász-Mirakjan-Kantorovich operators which preserve some test functions. We obtain some approximation results with the help of the well-known Korovkin theorem and the weighted Korovkin theorem for …