A Variant of Jessen’s Inequality of Mercer’s Type for Superquadratic Functions

نویسندگان

  • S. ABRAMOVICH
  • J. BARIĆ
  • J. PEČARIĆ
چکیده

A variant of Jessen’s inequality for superquadratic functions is proved. This is a refinement of a variant of Jessen’s inequality of Mercer’s type for convex functions. The result is used to refine some comparison inequalities of Mercer’s type between functional power means and between functional quasi-arithmetic means.

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تاریخ انتشار 2007