Geodesic
Detailed atlas of attractors of zeros for the classical Bernstein polynomials
Čelâbinskij fiziko-matematičeskij žurnal, Tome 3 (2018) no. 1, pp. 58-89

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The distribution of zeros for the classical Bernstein polynomials taken from piecewise linear generating functions is discussed. The classification of attractors to which subtend zeros at increasing of number of the Bernstein polynomials is given. We have established that the attractor structure subjects to its regular rules. By means of systems of computer mathematics large series of examples for each of the formulated rules are considered and illustrations to all typical situations are given.
Keywords: Bernstein polynomials, zeros of polynomials, attractor of zeros. 
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     author = {D. G. Tsvetkovich},
     title = {Detailed atlas of attractors of zeros for the classical {Bernstein} polynomials},
     journal = {\v{C}el\^abinskij fiziko-matemati\v{c}eskij \v{z}urnal},
     pages = {58--89},
     publisher = {mathdoc},
     volume = {3},
     number = {1},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHFMJ_2018_3_1_a3/}
}
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D. G. Tsvetkovich. Detailed atlas of attractors of zeros for the classical Bernstein polynomials. Čelâbinskij fiziko-matematičeskij žurnal, Tome 3 (2018) no. 1, pp. 58-89. http://geodesic.mathdoc.fr/item/CHFMJ_2018_3_1_a3/