On Some Statistical Approximation by (p,q)-Bleimann, Butzer and Hahn Operators
نویسندگان
چکیده
منابع مشابه
Bleimann, Butzer, and Hahn Operators Based on the q-Integers
We give a new generalization of Bleimann, Butzer, and Hahn operators, which includes qintegers.We investigate uniform approximation of these new operators on some subspace of bounded and continuous functions. In Section 3, we show that the rates of convergence of the new operators in uniform norm are better than the classical ones. We also obtain a pointwise estimation in a general Lipschitz-ty...
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We estimate the rate of the pointwise approximation by operators of Bleimann, Butzer and Hahn of locally bounded functions, and of functions having a locally bounded derivative.
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Approximation Properties of Bivariate Generalization of Bleimann, Butzer and Hahn Operators Based on the q-Integers
They investigated pointwise convergence properties of (1) in a compact sub-interval of [0,∞). Then Gadjiev and Çakar [2] obtained uniform convergence of (1) on semi-axis [0,∞) on some subspace of bounded and continuous functions by using the test functions ( x 1+x) ν , ν = 0, 1, 2. In 1996 q-based generalization of the classical Bernstein polynomials were introduced by G. M. Phillips [3]. He ha...
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In this paper we present two new alternative ways for the proof of Voronovskaja-type formula of the Bleimann, Butzer and Hahn bivariate operators, using the close connection between the recalled operators and Bernstein bivariate operators, respectively Stancu bivariate operators.
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ژورنال
عنوان ژورنال: Symmetry
سال: 2018
ISSN: 2073-8994
DOI: 10.3390/sym10120731