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Variants of Čebyšev's inequality with applications

Journal of Inequalities and Applications volume 2006, Article number: 39692 (2006) Cite this article

Abstract

Several variants of Čebyšev's inequality for two monotonic-tuples and also nonnegative-tuples monotonic in the same direction are presented. Immediately after that their refinements of Ostrowski's type are given. Obtained results are used to prove generalizations of discrete Milne's inequality and its converse in which weights satisfy conditions as in the Jensen-Steffensen inequality.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Natural Sciences, Mathematics, and Education, University of Split, Teslina 12, Split, 21000, Croatia

    M. Klaričić Bakula & A. Matković

  2. Faculty of Textile Technology, University of Zagreb, Pierottijeva 6, Zagreb, 10000, Croatia

    J. Pečarić

Authors
  1. M. Klaričić Bakula
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  2. A. Matković
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  3. J. Pečarić
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Correspondence to M. Klaričić Bakula.

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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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Bakula, M.K., Matković, A. & Pečarić, J. Variants of Čebyšev's inequality with applications. J Inequal Appl 2006, 39692 (2006). https://doi.org/10.1155/JIA/2006/39692

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  • DOI: https://doi.org/10.1155/JIA/2006/39692

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