Properties of some functionals related to Jensen's inequality (Q1912683)
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scientific article; zbMATH DE number 878120
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Properties of some functionals related to Jensen's inequality |
scientific article; zbMATH DE number 878120 |
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Properties of some functionals related to Jensen's inequality (English)
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13 May 1996
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The authors offer generalizations of the weighted Jensen inequality (which is the definition of convex functions) to real linear spaces. They explore their connections to superadditivity, supermultiplicativity and sublinearity, and apply the results to similar generalizations of the Hölder, Minkowski, arithmetic and geometric mean etc. inequalities. In the last line of p. 129 ``positive'' (nonnegative?) is missing before ``for all''.
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Hölder inequality
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Minkowski inequality
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arithmetic and geometric mean inequality
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weighted Jensen inequality
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superadditivity
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supermultiplicativity
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sublinearity
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