Abstract:For some classes of functions $f$ locally integrable in the sense of Lebesgue or Denjoy-Perron on the interval $[0;\infty )$, 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 $f$ is estimated.
Keywords: Bleimann, Butzer and Hahn operator, Lebesgue-Denjoy point, rate of convergence
AMS Subject Classification: 41A25