Notes on some points in the integral calculus. LX. (Q1454858)
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scientific article; zbMATH DE number 2591430
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Notes on some points in the integral calculus. LX. |
scientific article; zbMATH DE number 2591430 |
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Notes on some points in the integral calculus. LX. (English)
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1925
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Beweis der Ungleichung \[ \int\limits_0^\infty\left(\frac{F(x)}{x}\right)^\varkappa dx\leqq \left(\frac\varkappa{\varkappa-1}\right)^\varkappa \int\limits_0^\infty f(x)^\varkappa\,dx, \quad \varkappa>1,\;f(x)\geqq0,\;F(x)=\int\limits_0^\infty f\,dt, \] und der entsprechenden Reihenungleichung. (Vergl. F. d. M. 47, 207 (JFM 47.0207.*).) (IV 2.)
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