Victoria University Research Repository (Victoria University) · 2000 · 33 citations · 16 references
Open access
Natural SciencesMathematicsInformation TheoryOptimizationProbability TheoryConvex AnalysisConvex OptimizationJensen's InequalityStrong Converse Theorem
Some new inequalities which counterpart Jensen’s discrete inequality and improve the recent results from S.S. DRAGOMIR, "A converse result for Jensen’s discrete inequality via Grüss’ inequality and applications in information theory" and S.S. DRAGOMIR, "A converse of the Jensen inequality for convex mappings of several variables and applications" are given. A related result for generalized means is established. Applications in Information Theory are also provided.
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On Measures of Entropy and Information
A. Rényi · Project Euclid (Cornell University) · 1961 · 4K citations