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The Inequalities for Quasiarithmetic Means

Author

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  • Jadranka Mićić
  • Zlatko Pavić
  • Josip Pečarić

Abstract

Overview and refinements of the results are given for discrete, integral, functional and operator variants of inequalities for quasiarithmetic means. The general results are applied to further refinements of the power means. Jensen's inequalities have been systematically presented, from the older variants, to the most recent ones for the operators without operator convexity.

Suggested Citation

  • Jadranka Mićić & Zlatko Pavić & Josip Pečarić, 2012. "The Inequalities for Quasiarithmetic Means," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-25, August.
    • Handle: RePEc:hin:jnlaaa:203145
    DOI: 10.1155/2012/203145
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