On the minimizing of a class of definite integrals. (Q1460647)
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scientific article; zbMATH DE number 2598607
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the minimizing of a class of definite integrals. |
scientific article; zbMATH DE number 2598607 |
Statements
On the minimizing of a class of definite integrals. (English)
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1923
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Behandlung einer Aufgabe aus der Variationsrechnung: Gesucht ist eine die gegebenen Punkte \(P_0(x_0, y_0)\) und \(P_1(x_1,y_1)\) (\(x_0<x_1\)) verbindende Kurve \(y=y(x)\), auf der das Integral \[ \int_{x_0}^{x_1}\frac{\{1+{y'}^2(x)\}^m}{y''(x)}dx \] ein Minimum ist.
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