Superadditivity of the Levinson functional and applications (Q313465)
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scientific article; zbMATH DE number 6626086
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Superadditivity of the Levinson functional and applications |
scientific article; zbMATH DE number 6626086 |
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Superadditivity of the Levinson functional and applications (English)
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9 September 2016
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We study the Levinson functional, constructed as a difference between the right-hand side and the left-hand side of the Levinson inequality. We show that it possesses the properties of superadditivity and monotonicity. As a consequence, we obtain mutual bounds for this functional, expressed via the non-weighted functional of the same type. In this way, a refinement and a converse of the Levinson inequality in a difference form is obtained.
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Levinson inequality
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Jensen inequality
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Levinson functional
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refinement
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converse
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