OPTIMAL BLOW UP RATE FOR THE CONSTANTS OF KHINCHIN TYPE INEQUALITIES

Pellegrino Daniel; Santos Djair; Santos Joedson

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OPTIMAL BLOW UP RATE FOR THE CONSTANTS OF KHINCHIN TYPE INEQUALITIES

机译：Khinchin型不等式常数的最优爆破速率

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摘要

We provide, among other results, the optimal blow up rate of the constants of a family of Khinchin inequalities for multiple sums.

机译：除其他结果外，我们提供多个加和项的Khinchin不等式常数的最佳爆炸率。

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来源
《Quaestiones mathematicae》 |2018年第3期|303-318|共16页
作者
Pellegrino Daniel; Santos Djair; Santos Joedson;
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作者单位

Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, Paraiba, Brazil;

Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, Paraiba, Brazil;

Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, Paraiba, Brazil;

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原文格式 PDF
正文语种 eng
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关键词
Khinchin inequality; Kahane-Salem-Zygmund inequality; Kahane inequality;

机译：Khinchin不等式;Kahane-Salem-Zygmund不等式;Kahane不等式;

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1. The best constant in an inequality of Khinchin type for quadratic forms [J] . Gnedenko BD. Russian mathematical surveys . 2000,第2期

机译：二次形式的Khinchin型不等式中的最佳常数
2. Sharp constants for inequalities of Poincaré type: an application of optimal control theory [J] . Hongwei Lou Journal of inequalities and applications . 2014,第1期

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3. Khinchine type inequalities with optimal constants via ultra log-concavity [J] . Piotr Nayar, Krzysztof Oleszkiewicz Positivity . 2012,第2期

机译：通过超对数凹度获得最优常数的Khinchine型不等式
4. An Optimal Design Approach for the Open/Close Blow-Station Cam Mechanism of A Rotary Type Blow-molding Machine [C] . Jen-Yu Liu, Hong-Sen Yan, Guo-Bin Wang, IFToMM World Congress . 2007

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5. Best constants, optimal Sobolev inequalities on Riemannian manifolds and applications. [D] . Biezuner, Rodney Josue. 2003

机译：黎曼流形及其应用上的最佳常数，最佳Sobolev不等式。
6. Padé approximant related to inequalities involving the constant e and a generalized Carleman-type inequality [O] . Chao-Ping Chen, Hui-Jie Zhang -1

机译：与不等式有关的Padé逼近涉及常数e和广义Carleman型不等式
7. Optimal blow up rate for the constants of Khinchin type inequalities [O] . Pellegrino, Daniel, Santos, Djair, Santos, Joedson 2016

机译：Khinchin型不等式常数的最佳爆破率
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OPTIMAL BLOW UP RATE FOR THE CONSTANTS OF KHINCHIN TYPE INEQUALITIES

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