Matić, M.; Pearce, C. E. M.; Pečarić, J. Refinements of some bounds in information theory. (English) Zbl 0993.94008 ANZIAM J. 42, No. 3, 387-398 (2001). 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)]. Reviewer: Pushpa N.Rathie (Brasilia) Cited in 2 ReviewsCited in 2 Documents MSC: 94A17 Measures of information, entropy 26D15 Inequalities for sums, series and integrals 60A10 Probabilistic measure theory Keywords:information measures; inequalities; bounds; entropy measures Citations:Zbl 0862.94010 PDFBibTeX XMLCite \textit{M. Matić} et al., ANZIAM J. 42, No. 3, 387--398 (2001; Zbl 0993.94008) Full Text: DOI 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.