Generalization of the power means and their inequalities (Q1189681)
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scientific article; zbMATH DE number 57721
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalization of the power means and their inequalities |
scientific article; zbMATH DE number 57721 |
Statements
Generalization of the power means and their inequalities (English)
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27 September 1992
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The paper contains a generalization of the power means which includes a class of positive nonlinear functionals. For these new means the author obtains generalizations of the fundamental mean inequality, Hölder's, Minkowski's and related inequalities.
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Hölder inequality
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Minkowski inequality
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converse inequality
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generalization
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power means
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positive nonlinear functionals
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mean inequality
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