\(M\)-affine functions composing Sturm-Liouville families (Q1784264)
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scientific article; zbMATH DE number 6944064
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(M\)-affine functions composing Sturm-Liouville families |
scientific article; zbMATH DE number 6944064 |
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\(M\)-affine functions composing Sturm-Liouville families (English)
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26 September 2018
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The authors prove results related to the functional equation \[ f(M(x_1,\dots, x_n))= M(f(x_1),\dots, f(x_n)), \] where \(M\) is an \(n\)-variable mean. Particularly, when \(M\) is a quasilinear mean, connections with the so-called Sturm-Liouville family of functions are considered. As applications, new characterizations of quasilinear means are provided.
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means
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quasilinear means
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affine functions
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functional equations
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Sturm-Liouville family
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