Convexity and variation diminishing property for Bernstein polynomials in higher dimensions
Marek Beśka (1989)
Banach Center Publications
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Displaying similar documents to “On the Degre of L1-aproximation by Modified Bernstein Polynomials”
Convexity and variation diminishing property for Bernstein polynomials in higher dimensions
-Bernstein polynomials associated with -Stirling numbers and Carlitz's -Bernoulli numbers.
Kim, T., Choi, J., Kim, Y.H. (2010)
Abstract and Applied Analysis
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A new generating function of (-) Bernstein-type polynomials and their interpolation function.
Simsek, Yilmaz, Açıkgöz, Mehmet (2010)
Abstract and Applied Analysis
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A note on the modified -Bernstein polynomials.
Kim, Taekyun, Jang, Lee-Chae, Yi, Heungsu (2010)
Discrete Dynamics in Nature and Society
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An extremal problem for Bernstein polynomials.
Gavrea, Ioan, Kacsó, Daniela (1998)
General Mathematics
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A pointwise approximation theorem for linear combinations of Bernstein polynomials.
Guo, Shunsheng, Yue, Shujie, Li, Cuixiang, Yang, Ge, Sun, Yiguo (1996)
Abstract and Applied Analysis
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The Lower Estimate for Bernstein Operator
Gal, Sorin G., Tachev, Gancho T. (2013)
Mathematica Balkanica New Series
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MSC 2010: 41A10, 41A15, 41A25, 41A36 For functions belonging to the classes C2[0; 1] and C3[0; 1], we establish the lower estimate with an explicit constant in approximation by Bernstein polynomials in terms of the second order Ditzian-Totik modulus of smoothness. Several applications to some concrete examples of functions are presented.
The sharpness of convergence results for -Bernstein polynomials in the case
Sofiya Ostrovska (2008)
Czechoslovak Mathematical Journal
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Due to the fact that in the case the -Bernstein polynomials are no longer positive linear operators on the study of their convergence properties turns out to be essentially more difficult than that for In this paper, new saturation theorems related to the convergence of -Bernstein polynomials in the case are proved.
A de Casteljau algorithm for -Bernstein-Stancu polynomials.
Nowak, Grzegorz (2011)
Abstract and Applied Analysis
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On the approximation of analytic functions by the -Bernstein polynomials in the case .
Ostrovska, Sofiya (2010)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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