RUS  ENG
Full version
JOURNALS // Fundamentalnaya i Prikladnaya Matematika // Archive

Fundam. Prikl. Mat., 2016 Volume 21, Issue 4, Pages 151–174 (Mi fpm1752)

This article is cited in 4 papers

Computer analysis of the attractors of zeros for classical Bernstein polynomials

I. V. Tikhonova, D. G. Tsvetkovichb, V. B. Sherstyukovc

a Moscow State University, Moscow, Russia
b Moscow State Pedagogical University, Moscow, Russia
c National Research Nuclear University, Moscow, Russia

Abstract: The paper is concerned with special questions on the behavior of zeros of sequences of Bernstein polynomials. For a piecewise linear generating function, computer mathematics machinery was used to find the rules controlling the limit behavior of zeros as the number of the Bernstein polynomial unboundedly increases. New problems for theoretical investigations are formulated.

UDC: 517.518.82+519.677


 English version:
Journal of Mathematical Sciences (New York), 2020, 245:2, 217–233

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025