Hilbert's Constants
N.B. A detailed on-line essay by S. Finchwas 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.
- Orthogonal Matrix
- Orthogonal Polynomials
- Orthogonal Projection
- Orthogonal Rotation Group
- Orthogonal Tensors
- Orthogonal Transformation
- Orthogonal Vectors
- Orthographic Projection
- Orthologic
- Orthonormal Basis
- Orthonormal Functions
- Orthonormal Vectors
- Orthopole
- Orthoptic Curve
- Orthotomic
- Orthotope
- Osborne's Rule
- Oscillation
- Oscillation Land
- Osculating Circle
- Osculating Curves
- Osculating Interpolation
- Osculating Plane
- Osculating Sphere
- Osedelec Theorem