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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Kannappan, PL., Sahoo, P.K. (1986)
International Journal of Mathematics and Mathematical Sciences
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Zafer Ercan (2007)
Mathematica Bohemica
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M. Radulescu proved the following result: Let be a compact Hausdorff topological space and a supra-additive and supra-multiplicative operator. Then is linear and multiplicative. We generalize this result to arbitrary topological spaces.
Guersenzvaig, Natalio H., Spivey, Michael Z. (2007)
Integers
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Harish C. Taneja (1985)
Aplikace matematiky
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In this paper the mean and the variance of the Maximum Likelihood Estimator (MLE) of Kullback information measure and measure of relative "useful" information are obtained.
Grosjean, Carl C. (1996)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Kortram, R.A. (1997)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Anshelevich, Michael (2001)
Documenta Mathematica
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Viktor Harangi (2011)
Open Mathematics
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We say that a set in a Euclidean space does not contain an angle α if the angle determined by any three points of the set is not equal to α. The goal of this paper is to construct compact sets of large Hausdorff dimension that do not contain a given angle α ∈ (0,π). We will construct such sets in ℝn of Hausdorff dimension c(α)n with a positive c(α) depending only on α provided that α is different from π/3, π/2 and 2π/3. This improves on an earlier construction (due to several authors)...