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Optimal constants in the Marcinkiewicz–Zygmund inequalities

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  • Ferger, Dietmar

Abstract

We give the optimal constants in the Marcinkiewicz–Zygmund inequalities for symmetric summands. As an application we substantially improve the estimates of Ren and Liang (2001) in the Marcinkiewicz–Zygmund–Hölder inequality and identify the best possible constants in the symmetric case.

Suggested Citation

  • Ferger, Dietmar, 2014. "Optimal constants in the Marcinkiewicz–Zygmund inequalities," Statistics & Probability Letters, Elsevier, vol. 84(C), pages 96-101.
    • Handle: RePEc:eee:stapro:v:84:y:2014:i:c:p:96-101
    DOI: 10.1016/j.spl.2013.09.029
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    References listed on IDEAS

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    1. Ren, Yao-Feng & Liang, Han-Ying, 2001. "On the best constant in Marcinkiewicz-Zygmund inequality," Statistics & Probability Letters, Elsevier, vol. 53(3), pages 227-233, June.
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