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2006 Determination of the Best Constant in an Inequality of Hardy, Littlewood, and Pólya
C. M. Enticott, T. C. Peachey
Experiment. Math. 15(1): 43-50 (2006).

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.

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C. M. Enticott. T. C. Peachey. "Determination of the Best Constant in an Inequality of Hardy, Littlewood, and Pólya." Experiment. Math. 15 (1) 43 - 50, 2006.

Information

Published: 2006
First available in Project Euclid: 16 June 2006

zbMATH: 1111.26022
MathSciNet: MR2229384

Subjects:
Primary: 26D15

Keywords: Distributed optimization , integral inequality

Rights: Copyright © 2006 A K Peters, Ltd.

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Vol.15 • No. 1 • 2006
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