Some logarithmic Minkowski inequalities for nonsymmetric convex bodies and related problems
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DOI: 10.1186/s13660-020-02314-y
Abstract: In this paper, we show the existence of a solution to an even logarithmic Minkowski problem for p -capacity and prove some analogue inequalities of the logarithmic Minkowski inequality for general nonsymmetric convex bodies involving… read more here.
Keywords: inequalities nonsymmetric; nonsymmetric convex; logarithmic minkowski; minkowski inequalities ... See more keywords
The log-Minkowski inequalities for quermassintegrals
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Inequalities"
DOI: 10.7153/jmi-2017-11-74
Abstract: Recently, Stancu established the log-Minkowski inequality for non-symmetric convex bodies. In this article, we establish the log-Minkowski inequality for quermassintegrals, which is more general than Stancu’s results. Mathematics subject classification (2010): 52A40, 53A15. read more here.
Keywords: inequalities quermassintegrals; minkowski inequalities; log minkowski;