A least squares accumulation theorem. (Q2587707)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A least squares accumulation theorem. |
scientific article |
Statements
A least squares accumulation theorem. (English)
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1940
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Die gegebenen Funktionen \(A(x)\), \(B (x)\) mögen an den Stellen \(x_1,x_2,\ldots,x_p\) im Sinne der kleinsten Quadrate durch die Polynome \(A^*(x)\), \(B^*(x)\) des gleichen Grades \(n\) angenähert werden. Dann folgen aus den Normalgleichungen leicht die Identitäten \[ \sum _{i=1}^p A^*(x_i)\,B (x_i) = \sum _{i=1}^p A(x_i)\,B^*(x_i) = \sum _{i=1}^p A^*(x_i)\,B^*(x_i). \]
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