Abstract:
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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