Approximation of bounded variation functions by a Bézier variant of the Bleimann, Butzer, and Hahn operators.
Gupta, Vijay, Doğru, Ogün (2006)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Bleimann, Butzer, and Hahn operators based on the -integers.”
Approximation of bounded variation functions by a Bézier variant of the Bleimann, Butzer, and Hahn operators.
Statistical approximation of Baskakov and Baskakov-Kantorovich operators based on the q-integers
Nazim Mahmudov (2010)
Open Mathematics
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In the present paper we introduce and investigate weighted statistical approximation properties of a q-analogue of the Baskakov and Baskakov-Kantorovich operators. By using a weighted modulus of smoothness, we give some direct estimations for error in the case 0 < q < 1.
Iterates of a class of discrete linear operators via contraction principle
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.
-parametric Bleimann Butzer and Hahn operators.
Mahmudov, N.I., Sabancıgil, P. (2008)
Journal of Inequalities and Applications [electronic only]
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Linear operators that preserve some test functions.
Agratini, Octavian (2006)
International Journal of Mathematics and Mathematical Sciences
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Approximation and shape preserving properties of the nonlinear Bleimann-Butzer-Hahn operators of max-product kind
Barnabás Bede, Lucian Coroianu, Sorin G. Gal (2010)
Commentationes Mathematicae Universitatis Carolinae
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Starting from the study of the Shepard nonlinear operator of max-prod type in (Bede, Nobuhara et al., 2006, 2008), in the book (Gal, 2008), Open Problem 5.5.4, pp. 324–326, the Bleimann-Butzer-Hahn max-prod type operator is introduced and the question of the approximation order by this operator is raised. In this paper firstly we obtain an upper estimate of the approximation error of the form . A consequence of this result is that for each compact subinterval , with arbitrary , the...
Bernstein type operators having 1 and x j as fixed points
Zoltán Finta (2013)
Open Mathematics
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For certain generalized Bernstein operators {L n} we show that there exist no i, j ∈ {1, 2, 3,…}, i < j, such that the functions e i(x) = x i and e j (x) = x j are preserved by L n for each n = 1, 2,… But there exist infinitely many e i such that e 0(x) = 1 and e j (x) = x j are its fixed points.