A073001 Decimal expansion of Bernstein's constant.

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, 0, 0, 0, 4, 2, 4, 8, 2, 1, 3, 9, 8, 1, 2, 3, 6

Offset: 0

Author

Robert G. Wilson v, Aug 03 2002

Keywords

• cons
• nonn
• more

Comments

Named after the Russian and Soviet mathematician Sergei Natanovich Bernstein (1880-1968). - Amiram Eldar, Jun 06 2021

Examples

			0.2801694990238691330364364912306720000424821398...
		

References

• Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 4.4, p. 258.

Links

• Serge Bernstein, Sur la meilleure approximation de |x| par des polynomes de degrés donnés, [in French], Acta Math., Vol. 37 (1913), pp. 1-57.
• Simon Plouffe, The Bernstein Constant. [broken link]
• R. S. Varga and A. J. Carpenter, A conjecture of S. Bernstein in approximation theory. [in Russian], Mat. Sb. (N.S.), 1986, Volume 129(171), Number 4, Pages 535-548, English version, Mathematics of the USSR-Sbornik, Volume 57, Number 2.
• Richard S. Varga and Amos J. Carpenter, On the Bernstein Conjecture in Approximation Theory, Constr. Approx. 1(1), 333-348, December 1985
• Eric Weisstein's World of Mathematics, Bernstein's Constant.
• Wikipedia, Bernstein's constant.

Crossrefs

Cf. A087198 (the value conjectured by Bernstein in 1913).