Approximation order for multivariate Durrmeyer operators with Jacobi weights.

Wang, Jianjun; Yang, Chan-Yun; Duan, Shukai

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Some approximation properties of the Kantorovich variant of the Bleimann, Butzer and Hahn operators

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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.