• Title/Summary/Keyword: Jessen-Mercer's inequality

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TIME SCALES INTEGRAL INEQUALITIES FOR SUPERQUADRATIC FUNCTIONS

  • Baric, Josipa;Bibi, Rabia;Bohner, Martin;Pecaric, Josip
    • Journal of the Korean Mathematical Society
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    • v.50 no.3
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    • pp.465-477
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    • 2013
  • In this paper, two different methods of proving Jensen's inequality on time scales for superquadratic functions are demonstrated. Some refinements of classical inequalities on time scales are obtained using properties of superquadratic functions and some known results for isotonic linear functionals.