General solution of two functional equations concerning measures of information (Q749789)
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scientific article; zbMATH DE number 4173574
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | General solution of two functional equations concerning measures of information |
scientific article; zbMATH DE number 4173574 |
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General solution of two functional equations concerning measures of information (English)
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1990
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A unified method to solve the following functional equations, in the n- dimensional case, is presented. \[ f(pq)+f(p(1-q))=f(p)(f(q)+f(1-q)), \] \[ f(pq)+f(p(1-q))=f(p)(M(q)+M(1-q)) \] (p,q\(\in]0,1[^ n)\). These equations arise in the characterization of multidimensional sum form information measures.
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functional equations
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multidimensional sum form information measures
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