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On the constant in Meńshov-Rademacher inequality

Journal of Inequalities and Applications volume 2006, Article number: 68969 (2006) Cite this article

Abstract

The goal of the paper is twofold: (1) to show that the exact value in the Meńshov-Rademacher inequality equals 4/3, and (2) to give a new proof of the Meńshov-Rademacher inequality by use of a recurrence relation. The latter gives the asymptotic estimate.

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Authors and Affiliations

  1. Muskhelishvili Institute of Computational Mathematics, Georgian Academy of Sciences, 8 Akuri Street, Tbilisi, 0193, Georgia

    Sergei Chobanyan

  2. Department of Statistics & Probability, Michigan State University, East Lansing, MI, 48824, USA

    Shlomo Levental & Habib Salehi

Authors
  1. Sergei Chobanyan
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  2. Shlomo Levental
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  3. Habib Salehi
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Correspondence to Sergei Chobanyan.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Chobanyan, S., Levental, S. & Salehi, H. On the constant in Meńshov-Rademacher inequality. J Inequal Appl 2006, 68969 (2006). https://doi.org/10.1155/JIA/2006/68969

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