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arXiv · 1503.00618

Polynomial and multilinear Hardy--Littlewood inequalities: analytical and numerical approaches

J. Campos·W. Cavalcante·V. Fávaro·D. Nuñez-Alarcón·D. Pellegrino·D. M. Serrano-Rodríguez
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Abstract

We investigate the growth of the polynomial and multilinear Hardy--Littlewood inequalities. Analytical and numerical approaches are performed and, in particular, among other results, we show that a simple application of the best known constants of the Clarkson inequality improves a recent result of Araujo et al. We also obtain the optimal constants of the generalized Hardy--Littlewood inequality in some special cases.

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J. Campos, W. Cavalcante, V. Fávaro, D. Nuñez-Alarcón, D. Pellegrino, D. M. Serrano-Rodríguez. 2015-03-02. Polynomial and multilinear Hardy--Littlewood inequalities: analytical and numerical approaches. https://doi.org/10.7153/mia-2018-21-24

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