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2 results

  • INEQUALITIES IN TERMS OF THE GÂTEAUX DERIVATIVES FOR CONVEX FUNCTIONS ON LINEAR SPACES WITH APPLICATIONS

  • Part of
  • S. S. DRAGOMIR
  • Journal:
    Bulletin of the Australian Mathematical Society / Volume 83 / Issue 3 / June 2011
    Published online by Cambridge University Press:
    07 February 2011, pp. 500-517
    Print publication:
    June 2011
    • Article
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  • Some inequalities in terms of the Gâteaux derivatives related to Jensen’s inequality for convex functions defined on linear spaces are given. Applications for norms, mean f-deviations and f-divergence measures are provided as well.

  • A CONCEPT OF SYNCHRONICITY ASSOCIATED WITH CONVEX FUNCTIONS IN LINEAR SPACES AND APPLICATIONS

  • Part of
  • S. S. DRAGOMIR
  • Journal:
    Bulletin of the Australian Mathematical Society / Volume 82 / Issue 2 / October 2010
    Published online by Cambridge University Press:
    18 June 2010, pp. 328-339
    Print publication:
    October 2010
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  • A concept of synchronicity associated with convex functions in linear spaces and a Chebyshev type inequality are given. Applications for norms, semi-inner products and convex functions of several real variables are also given.