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For some classes of functions locally integrable in the sense of Lebesgue or Denjoy-Perron on the interval , the Kantorovich type modification of the Bleimann, Butzer and Hahn operators is considered. The rate of pointwise convergence of these operators at the Lebesgue or Lebesgue-Denjoy points of is estimated.
We consider the Kantorovich and the Durrmeyer type modifications of the generalized Favard operators and we prove inverse approximation theorems for functions such that , where and , .
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