|
%I #30 Jun 21 2024 10:49:43
%S 2,8,0,1,6,9,4,9,9,0,2,3,8,6,9,1,3,3,0,3,6,4,3,6,4,9,1,2,3,0,6,7,2,0,
%T 0,0,0,4,2,4,8,2,1,3,9,8,1,2,3,6
%N Decimal expansion of Bernstein's constant.
%C Named after the Russian and Soviet mathematician Sergei Natanovich Bernstein (1880-1968). - _Amiram Eldar_, Jun 06 2021
%H Serge Bernstein, <a href="https://doi.org/10.1007/BF02401828">Sur la meilleure approximation de |x| par des polynomes de degrés donnés</a>, [in French], Acta Math., Vol. 37 (1913), pp. 1-57.
%H Simon Plouffe, <a href="http://www.worldwideschool.org/library/books/sci/math/MiscellaneousMathematicalConstants/chap10.html">The Bernstein Constant</a>. [broken link]
%H R. S. Varga and A. J. Carpenter, <a href="http://mi.mathnet.ru/eng/msb1844">A conjecture of S. Bernstein in approximation theory.</a> [in Russian], Mat. Sb. (N.S.), 1986, Volume 129(171), Number 4, Pages 535-548, <a href="http://dx.doi.org/10.1070/SM1987v057n02ABEH003086">English version</a>, Mathematics of the USSR-Sbornik, Volume 57, Number 2.
%H Richard S. Varga and Amos J. Carpenter, <a href="https://www.researchgate.net/publication/226837220_On_the_bernstein_conjecture_in_approximation_theory">On the Bernstein Conjecture in Approximation Theory</a>, Constr. Approx. 1(1), 333-348, December 1985
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/BernsteinsConstant.html">Bernstein's Constant</a>.
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Bernstein's_constant">Bernstein's constant</a>.
%e 0.2801694990238691330364364912306720000424821398...
%Y Cf. A087198 (the value conjectured by Bernstein in 1913).
%K cons,nonn,more
%O 0,1
%A _Robert G. Wilson v_, Aug 03 2002
|
