Chebyshev Constants

The constants

where

 and  are th and th order polynomials, and  is the set of all rational functions with real coefficients.

REFERENCES:

Finch, S. R. "The One-Ninth Constant." §4.5 in Mathematical Constants. Cambridge, England: Cambridge University Press, pp. 259-262, 2003.

Petrushev, P. P. and Popov, V. A. Rational Approximation of Real Functions. New York: Cambridge University Press, 1987.

Varga, R. S. Scientific Computations on Mathematical Problems and Conjectures. Philadelphia, PA: SIAM, 1990. Philadelphia, PA: SIAM, 1990.