Abstract | ||
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In this note, we present an information diffusion inequality derived from an elementary argument, which gives rise to a very general Fano-type inequality. The latter unifies and generalizes the distance-based Fano inequality and the continuous Fano inequality established in [Corollary 1, Propositions 1 and 2, arXiv:1311.2669v2], as well as the generalized Fano inequality in [Equation following (10); T. S. Han and S. Verd\'u. Generalizing the Fano inequality. IEEE Transactions on Information Theory, 40(4):1247-1251, July 1994]. |
Year | Venue | Field |
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2015 | CoRR | Discrete mathematics,Fano's inequality,Gibbs' inequality,Hölder's inequality,Rearrangement inequality,Pure mathematics,Cauchy–Schwarz inequality,Kantorovich inequality,Ky Fan inequality,Log sum inequality,Mathematics |
DocType | Volume | Citations |
Journal | abs/1504.05492 | 1 |
PageRank | References | Authors |
0.35 | 3 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Gábor Braun | 1 | 4 | 1.09 |
Sebastian Pokutta | 2 | 267 | 32.02 |