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Refinements of some bounds in information theory. (English) Zbl 0993.94008

The authors establish several new bounds for entropy measures \(H(X)\), \(H(X|Y)\), \(I(X;Y)\), and \(I(X,Y;Z)\) in information theory. The results provide further improvements to the ones earlier given by S. S. Dragomir and C. J. Goh [Math. Comput. Modelling 24, No. 2, 1-11 (1996; Zbl 0862.94010)].

MSC:

94A17 Measures of information, entropy
26D15 Inequalities for sums, series and integrals
60A10 Probabilistic measure theory

Citations:

Zbl 0862.94010
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References:

[1] McEliece, The theory of information and coding (1977)
[2] Matić, Math. Ineq. and Applic 1 pp 295– (1998)
[3] Mitrinović, Classical and new inequalities in analysis (1993) · doi:10.1007/978-94-017-1043-5
[4] Biernacki, Ann. Univ. Mariae Curie–Sklodowska Sect. A Math. 4 pp 1– (1950)
[5] Ash, Information theory (1965)
[6] DOI: 10.1016/0895-7177(96)00085-4 · Zbl 0862.94010 · doi:10.1016/0895-7177(96)00085-4
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