- Experiment. Math.
- Volume 15, Number 1 (2006), 43-50.
Determination of the Best Constant in an Inequality of Hardy, Littlewood, and Pólya
In 1934 Hardy, Littlewood, and Pólya generalized Hilbert's inequality to the case in which the parameters are not conjugate. Determination of the best constant in this generalization is still an unsolved problem. An experimental approach is presented that yields numerical values that agree with theory in the cases in which an exact answer is known. The results may be a guide to a further theoretical approach.
Experiment. Math., Volume 15, Number 1 (2006), 43-50.
First available in Project Euclid: 16 June 2006
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 26D15: Inequalities for sums, series and integrals
Peachey, T. C.; Enticott, C. M. Determination of the Best Constant in an Inequality of Hardy, Littlewood, and Pólya. Experiment. Math. 15 (2006), no. 1, 43--50. https://projecteuclid.org/euclid.em/1150476902