Solution of a sum form equation in the two dimensional closed domain case.
Kocsis, Imre (2005)
Annales Mathematicae et Informaticae
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Displaying similar documents to “On some functional equations from additive and nonadditive measures (III).”
Solution of a sum form equation in the two dimensional closed domain case.
Functional equations related to non-additive information measures
A. Kamiński, P. N. Rathie, Lilian T. Sheng (1984)
Annales Polonici Mathematici
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On the general solution of a functional equation connected to sum form information measures on open domain. III.
Kannappan, PL., Sahoo, P.K. (1986)
International Journal of Mathematics and Mathematical Sciences
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Generalization of the non-additive measures of uncertainty and information and their axiomatic characterizations
Pushpa Narayan Rathie (1971)
Kybernetika
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On a generalization of the sum form functional equation. VI
Pl. Kannappan (1988)
Annales Polonici Mathematici
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On a Functional Equation Arising in Information Theory.
Wolfgang Sander (1986)
Manuscripta mathematica
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On a generalization of sum form functional equation - V.
Pl. Kannappan (1985)
Aequationes mathematicae
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Weighted entropies
Bruce Ebanks (2010)
Open Mathematics
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We present an axiomatic characterization of entropies with properties of branching, continuity, and weighted additivity. We deliberately do not assume that the entropies are symmetric. The resulting entropies are generalizations of the entropies of degree α, including the Shannon entropy as the case α = 1. Such “weighted” entropies have potential applications to the “utility of gambling” problem.