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On the integral \(\int \limits _0{\vphantom{\int}}^\infty x^{-m}\sin ^{n}x\,dx,\) with an appendix on its application to a theory of approximation of a function. - MaRDI portal

On the integral \(\int \limits _0{\vphantom{\int}}^\infty x^{-m}\sin ^{n}x\,dx,\) with an appendix on its application to a theory of approximation of a function. (Q1461715)

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scientific article; zbMATH DE number 2601112
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English
On the integral \(\int \limits _0{\vphantom{\int}}^\infty x^{-m}\sin ^{n}x\,dx,\) with an appendix on its application to a theory of approximation of a function.
scientific article; zbMATH DE number 2601112

    Statements

    On the integral \(\int \limits _0{\vphantom{\int}}^\infty x^{-m}\sin ^{n}x\,dx,\) with an appendix on its application to a theory of approximation of a function. (English)
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    1922
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    Berechnung der gen. Integrale im Anschluß an eine Bemerkung von Kluyver. Der Appendix enthält eine Literaturangabe über \[ \int \limits _0{\vphantom{\int}}^\infty\frac{\sin^4t}{t^3}\,dt=\log2. \]
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