Displaying similar documents to “Simultaneous approximation for the Phillips operators.”

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

Grzegorz Nowak (2008)

Commentationes Mathematicae Universitatis Carolinae

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For some classes of functions f locally integrable in the sense of Lebesgue or Denjoy-Perron on the interval [ 0 ; ∞ ) , 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.