weighted additive information measures
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ID: 245559
1990
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Abstract
We determine all measurable functions I,G,L:[0,1]→ℝ satisfying the functional equation ∑i=1n∑j=1mI(pi,qj)=∑i=1n∑j=1mG(pi)I(qj)+∑i=1n∑j=1mL(qj)I(pi) for P∈Γn, Q∈Γm and for a fixed pair (n,m), n≥3, m≥3, where G(0)=L(0)=0 and G(1)=L(1)=1. This functional equation has interesting applications in information theory.
| Reference Key |
sander1990internationalweighted
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|---|---|
| Authors | ;Wolfgang Sander |
| Journal | structural engineering and mechanics |
| Year | 1990 |
| DOI |
10.1155/S0161171290000631
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| URL | |
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