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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Displaying similar documents to “A de Casteljau algorithm for -Bernstein-Stancu polynomials.”
A note on the modified -Bernstein polynomials.
On the Degre of L1-aproximation by Modified Bernstein Polynomials
Suresh Prasad Singh, O.P. Varshney, Govind Prasad (1983)
Publications de l'Institut Mathématique
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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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-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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Convexity and variation diminishing property for Bernstein polynomials in higher dimensions
Marek Beśka (1989)
Banach Center Publications
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A saturation theorem for combinations of Bernstein-Durrmeyer polynomials
P. N. Agrawal, Vijay Gupta (1992)
Annales Polonici Mathematici
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We prove a local saturation theorem in ordinary approximation for combinations of Durrmeyer's integral modification of Bernstein polynomials.
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.