Experimental Mathematics

Determination of the Best Constant in an Inequality of Hardy, Littlewood, and Pólya

C. M. Enticott and T. C. Peachey

Full-text: Open access

Abstract

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.

Article information

Source
Experiment. Math., Volume 15, Number 1 (2006), 43-50.

Dates
First available in Project Euclid: 16 June 2006

Permanent link to this document
https://projecteuclid.org/euclid.em/1150476902

Mathematical Reviews number (MathSciNet)
MR2229384

Zentralblatt MATH identifier
1111.26022

Subjects
Primary: 26D15: Inequalities for sums, series and integrals

Keywords
Integral inequality distributed optimization

Citation

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


Export citation