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On a system of functional equations in information theory. (English) Zbl 0211.17801

MSC:
39B05 General theory of functional equations and inequalities
39B62 Functional inequalities, including subadditivity, convexity, etc.
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[1] Kampé de Fériet, J. andForte, B.,Information et probabilité, I C.R. Acad. Sci. Paris265A, 110–114 (1967). · Zbl 0201.53002
[2] Kampé de Fériet, J. andForte, B.,Information et probabilité, II, C.R. Acad. Sci. Paris265A, 350–353 (1967).
[3] Forte, B. andBenvenuti, P.,Su una classe di misure di informazione regolari a traccia shannoniana, Atti Sem. Mat. Fis. Univ.Modena18, 99–108 (1969). · Zbl 0188.24001
[4] Baiocchi, C.,Su un sistema di equazioni funzionali connesso alla teoria dell’informazione, Boll. Un. Mat. Ital.22, 236–246 (1967). · Zbl 0152.14402
[5] Daróczy, Z.,Über ein Funktionalgleichungssystem der Informationtheorie, Aequationes Math.2, 144–149 (1969). · Zbl 0174.20102 · doi:10.1007/BF01817697
[6] Aczél, J.,Lectures on Functional Equations and Their Applications (Academic Press, New York-London 1966 [Math. in Science and Engineering, Vol. 19]). · Zbl 0139.09301
[7] Daróczy, Z.,Über die gemeinsame Charakterisierung der zu den nicht vollständigen Verteilungen gehörigen Entropien von Shannon und von Rényi, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete1, 381–388 (1962–1963). · Zbl 0226.94014 · doi:10.1007/BF00533413
[8] 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 · doi:10.1007/BF01901932
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