Some Integral Inequalities for Log- $h$ -Convex Interval-Valued Functions
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DOI: 10.1109/access.2019.2925153
Abstract: We introduce the log- $h$ -convex concept for the interval-valued functions (IVFs) and establish some of the new Jensen’s, Hadamard’s, and Hadamard-Fejér’s inequalities for this kind of functions, which generalize some known results. Meanwhile, some… read more here.
Keywords: valued functions; inequalities log; interval valued; log convex ... See more keywords
Reversal of Rényi Entropy Inequalities Under Log-Concavity
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DOI: 10.1109/tit.2020.3024025
Abstract: We establish a discrete analog of the Rényi entropy comparison due to Bobkov and Madiman. For log-concave variables on the integers, the min entropy is within $\log e$ of the usual Shannon entropy. Additionally we… read more here.
Keywords: log concavity; inequalities log; entropy; entropy inequalities ... See more keywords
Inequalities for $\log -$convex functions and $P-$functions
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DOI: 10.18514/mmn.2017.1798
Abstract: In this paper we obtain some new integral inequalities like Hermite-Hadamard type for log convex functions and P functions. 2010 Mathematics Subject Classification: 26D10; 26D15; 26A51 read more here.
Keywords: log convex; functions functions; inequalities log; convex functions ... See more keywords
Transport Inequalities for Log-concave Measures, Quantitative Forms, and Applications
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DOI: 10.4153/cjm-2016-046-3
Abstract: Abstract We review some simple techniques based on monotone-mass transport that allow us to obtain transport-type inequalities for any log-concave probability measures, and for more general measures as well. We discuss quantitative forms of these… read more here.
Keywords: quantitative forms; transport inequalities; concave measures; inequalities log ... See more keywords