Displaying similar documents to “Rate of convergence of bounded variation functions by a Bézier-Durrmeyer variant of the Baskakov 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.