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On a functional equation connected with generalized directed-divergence. (English) Zbl 0291.39009

MSC:
39B99 Functional equations and inequalities
94A15 Information theory (general)
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References:
[1] Aczél, J. andDaróczy, Z.,Charakterisierung der Entropien positiver Ordnung und der Shannonschen Entropie, Acta Math. Acad. Sci. Hungar.14, 95–121 (1963). · Zbl 0138.14904
[2] Aczél, J. andNath, P.,Axiomatic Characterizations of Some Measures of Divergence in Information, Z. Wahr. Verw. Geb.21, 215–224 (1972). · Zbl 0221.94032
[3] Chaundy, T. W. andMcleod, J. B.,On a Functional Equation, Proc. Edinburgh Math. Soc. (2) 12 (1960/61), Math. Notes43, 7–8 (1960). · Zbl 0100.32703
[4] Kannappan, Pl.,On Shannon’s Entropy, Directed-divergence and Inaccuracy, Z. Wahr. Verw. Geb.22, 95–100 (1972). · Zbl 0241.94020
[5] Nath, P.,On the Measures of Errors in Information, J. Math. Sci., (Delhi)3, 1–16 (1968). · Zbl 0187.16901
[6] Rathie, P. N.,On Generalized Measures of Inaccuracies, Information and Errors in Information (Queen’s Univ. preprint No. 21, 1969).
[7] Rathie, P. N. andKannappan, Pl.,An Application of a Functional Equation to Information Theory, Ann. Polon. Math.26, 95–101 (1972). · Zbl 0235.39001
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