On Hölder's inequalities for convexity (Q1263689)
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scientific article; zbMATH DE number 4127537
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Hölder's inequalities for convexity |
scientific article; zbMATH DE number 4127537 |
Statements
On Hölder's inequalities for convexity (English)
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1989
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Using the gauge j(x) of a convex set \(C\subset {\mathbb{R}}^ m\) (0\(\in C)\), which equals the infimum of \(\{t>0|\) \(x\in tC\}\) if this set is not empty and \(\infty\) if it is, the author offers companion pieces, generalizations and converses of the Cauchy-Schwartz, Hölder and Minkowski inequalities.
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cones
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Minkowski inequality
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Hölder inequality
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Cauchy-Schwartz inequality
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Kantorovich inequality
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convex function
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complementary inequalities
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gauge
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convex set
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