*N.B. A detailed on-line essay by S. Finch
was the starting point for this entry.*

Extend Hilbert's Inequality by letting and

(1) |

(2) |

(3) |

(4) |

**References**

Finch, S. ``Favorite Mathematical Constants.'' http://www.mathsoft.com/asolve/constant/hilbert/hilbert.html

Mitrinovic, D. S.; Pecaric, J. E.; and Fink, A. M.
*Inequalities Involving Functions and Their Integrals and Derivatives.* Dordrecht, Netherlands: Kluwer, 1991.

Steckin, S. B. ``On the Degree of Best Approximation to Continuous Functions.'' *Dokl. Akad. Nauk SSSR* **65**, 135-137, 1949.

© 1996-9

1999-05-25