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On the Hàjek-Rènyi inequality

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Wuhan University Journal of Natural Sciences

Abstract

In this paper we give an elementary and unified proof of the Hàjek-Rènyi inequality, and get a general version of this inequality which not only covers the all known results but also derives some new results.

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Author information

Authors and Affiliations

  1. School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, Hubei, China

    Gan Shixin

  2. Department of Mathematics and Computer Science, Guangdong University of Business Studies, Guangzhou, 510320, Guangdong, China

    Qiu Dehua

Authors
  1. Gan Shixin
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  2. Qiu Dehua
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Corresponding author

Correspondence to Gan Shixin.

Additional information

Foundation item: Supported by the National Natural Science Foundation of China(10671149)

Biography: GAN Shixin (1939–),male, Professor, research direction:martingale theory, probability limiting theory and Banach space geometry theory.

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Gan, S., Qiu, D. On the Hàjek-Rènyi inequality. Wuhan Univ. J. of Nat. Sci. 12, 971–974 (2007). https://doi.org/10.1007/s11859-007-0029-5

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  • DOI: https://doi.org/10.1007/s11859-007-0029-5

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