Superadditivity, monotonicity, and exponential convexity of the Petrović-type functionals (Q437504)
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scientific article; zbMATH DE number 6058080
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Superadditivity, monotonicity, and exponential convexity of the Petrović-type functionals |
scientific article; zbMATH DE number 6058080 |
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Superadditivity, monotonicity, and exponential convexity of the Petrović-type functionals (English)
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18 July 2012
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Summary: We consider functionals derived from Petrović-type inequalities and establish their superadditivity, subadditivity, and monotonicity properties on the corresponding real \(n\)-tuples. By virtue of established results we also define some related functionals and investigate their properties regarding exponential convexity. Finally, the general results are then applied to some particular settings.
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Petrović-type inequality
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exponential convexity
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