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  • Research Article
  • Open Access

On the constant in Meńshov-Rademacher inequality

Journal of Inequalities and Applications20062006:68969

  • Received: 26 March 2005
  • Accepted: 7 September 2005
  • Published:


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 .


  • Recurrence Relation
  • Asymptotic Estimate


Authors’ Affiliations

Muskhelishvili Institute of Computational Mathematics, Georgian Academy of Sciences, 8 Akuri Street, Tbilisi, 0193, Georgia
Department of Statistics & Probability, Michigan State University, East Lansing, MI 48824, USA


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© Sergei Chobanyan et al. 2006

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.