On the continuity and discontinuity of definite integrals which contain a continuous parameter. (Q1507209)
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scientific article; zbMATH DE number 2659755
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the continuity and discontinuity of definite integrals which contain a continuous parameter. |
scientific article; zbMATH DE number 2659755 |
Statements
On the continuity and discontinuity of definite integrals which contain a continuous parameter. (English)
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1902
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Es wird eine Anzahl von Theoremen über die Kontinuität von Integralen der Form \[ \int_a^A f(x, \alpha) dx, \quad \int_a^\infty f(x, \alpha) dx \quad \text{und} \quad \int_\alpha^A f(x, \alpha) \varphi (x) dx \] innerhalb gewisser Bereiche aufgestellt, wenn die Funktionen \(f(x),\) resp. \(\int \varphi (x) dx\) gewisse Stetigkeitsbedingungen erfüllen.
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