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Volume 9, Issue 3, Article 62 |
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A Variant of Jessen's Inequality of Mercer's Type for Superquadratic Functions
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Authors: |
Shoshana Abramovich, J. Baric, Josip E. Pecaric, |
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Keywords:
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Isotonic linear functionals, Jessen's inequality, Superquadratic functions, Functional quasi-arithmetic and power means of Mercer's type. |
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Date Received:
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16/12/07 |
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Date Accepted:
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03/04/08 |
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Subject Codes: |
26D15, 39B62.
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Editors: |
Ioan Gavrea, |
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Abstract: |
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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