Polynomial and multilinear Hardy-Littlewood inequalities: analytical and numerical approaches
| Autor: | W. Cavalcante, Vinícius V. Fávaro, Daniel Pellegrino, Diana Marcela Serrano-Rodríguez, Jamilson R. Campos, Daniel Núñez-Alarcón |
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| Rok vydání: | 2018 |
| Předmět: |
Mathematics::Functional Analysis
Multilinear map Polynomial Inequality Applied Mathematics General Mathematics media_common.quotation_subject Mathematics::Classical Analysis and ODEs Functional Analysis (math.FA) Mathematics - Functional Analysis Simple (abstract algebra) FOS: Mathematics Applied mathematics Mathematics media_common |
| Zdroj: | Mathematical Inequalities & Applications. :329-344 |
| ISSN: | 1331-4343 |
| DOI: | 10.7153/mia-2018-21-24 |
| Popis: | 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. The title was modified. The computer-assisted part of the previous version is now fixed and this new version has a new section which corresponds to the arXiv submission 1504.04207. The arXiv submission 1504.04207 does not exist as an independent paper and now is part of the present paper |
| Databáze: | OpenAIRE |
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