Approximation and shape preserving properties of the Bernstein operator of max-product kind.

Bede, Barnabás; Coroianu, Lucian; Gal, Sorin G.

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Displaying similar documents to “Approximation and shape preserving properties of the Bernstein operator of max-product kind.”

Approximation by $q$ -Bernstein type operators

Zoltán Finta (2011)

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Using the $q$ -Bernstein basis, we construct a new sequence ${L_{n}}$ of positive linear operators in $C [0, 1] .$ We study its approximation properties and the rate of convergence in terms of modulus of continuity.

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Gupta, Vijay, Ispir, Nurhayat (2004)

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Wang, Jianjun, Yang, Chan-Yun, Duan, Shukai (2011)

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Ciupa, Alexandra (2006)

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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 $[0; \infty)$ , 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.

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