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A New Refinement Of Jensen'S Inequality With Applications In Information Theory

Lei Xiao,Guoxiang Lu

OPEN MATHEMATICS（2020）

Cited 13|Views0
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Abstract
In this paper, we present a new refinement of Jensen's inequality with applications in information theory. The refinement of Jensen's inequality is obtained based on the general functional in the work of Popescu et al. As the applications in information theory, we provide new tighter bounds for Shannon's entropy and some f-divergences.
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Key words
refinements, Jensen's inequality, information theory, Shannon's entropy, f-divergences, bounds
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