Distributional inequalities and van der Corput's lemma (Q760879)
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scientific article; zbMATH DE number 3886563
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Distributional inequalities and van der Corput's lemma |
scientific article; zbMATH DE number 3886563 |
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Distributional inequalities and van der Corput's lemma (English)
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1984
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A condition for the existence of the integral \(\int^{b}_{a}e^{if(t)}dt\) for a given real-valued locally integrable function f, in terms of the second distributional derivative of f, is established. The similar condition for twice differentiable convex functions is known as van der Corput's lemma.
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existence of the integral
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distributional derivative
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van der Corput's lemma
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