On some properties of the quasisymmetry quotients of functions (Q1306330)
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scientific article; zbMATH DE number 1346976
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On some properties of the quasisymmetry quotients of functions |
scientific article; zbMATH DE number 1346976 |
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On some properties of the quasisymmetry quotients of functions (English)
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22 February 2000
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The author offers the detemination of all real valued injective (one-to-one) functions \(f\) on \(\mathbb{R}\) for which \([f(x+y)-f(x)]/[f(x)-f(x-y)]\) is independent of \(y>0\) or of \(x\in\mathbb{R}\) (in the latter case the dependence of the quotient on \(y\) is supposed to be continuous).
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functional equations
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injective functions
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continuous functions
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quasisymmetry quotients
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