Approximation and shape preserving properties of the Bernstein operator of max-product kind.
Bede, Barnabás, Coroianu, Lucian, Gal, Sorin G. (2009)
International Journal of Mathematics and Mathematical Sciences
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Bede, Barnabás, Coroianu, Lucian, Gal, Sorin G. (2009)
International Journal of Mathematics and Mathematical Sciences
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Zeng, Xiao-Ming, Zhao, Jun-Ning (2001)
Journal of Inequalities and Applications [electronic only]
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Aral, Ali, Doğru, Ogün (2007)
Journal of Inequalities and Applications [electronic only]
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Gupta, Vijay, Kumar, Niraj (2003)
International Journal of Mathematics and Mathematical Sciences
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Grzegorz Nowak (2008)
Commentationes Mathematicae Universitatis Carolinae
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For some classes of functions locally integrable in the sense of Lebesgue or Denjoy-Perron on the interval , 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 is estimated.
Gal, Ciprian S., Gal, Sorin G. (2004)
International Journal of Mathematics and Mathematical Sciences
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Octavian Agratini, Ioan A. Rus (2003)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we are concerned with a general class of positive linear operators of discrete type. Based on the results of the weakly Picard operators theory our aim is to study the convergence of the iterates of the defined operators and some approximation properties of our class as well. Some special cases in connection with binomial type operators are also revealed.