Generalized functional equation and its applications in information theory |
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Authors: | G C Patni K C Jain |
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Institution: | 1. Department of Mathematics, University of Rajasthan, Jaipur
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Abstract: | The functional equationf(x,y)+g(x)h(y)F(u/1?x,ν/1?y)=f(u,ν)+g(u)h(ν)F(x/1?u,y/1?ν) ... (1) forx, y, u, ν ∈ 0, 1) andx+u,y+ν ∈ 0,1) whereg andh satisfy the functional equationφ (x+y?xy)=φ(x)φ(y)... (2) has been solved for some non-constant solution of (2) in 0, 1] withφ (0)=1,φ(1)=0 and the solution is used in characterising some measures of information. |
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