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Variants of Čebyšev's inequality with applications

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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Correspondence to M. Klaričić Bakula.

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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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Keywords

  • Jensen-Steffensen Inequality
  • Ob Tain
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