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Some logarithmic Minkowski inequalities for nonsymmetric convex bodies and related problems

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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… Click to show full 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 p -capacity.

Keywords: inequalities nonsymmetric; nonsymmetric convex; logarithmic minkowski; minkowski inequalities; convex bodies

Journal Title: Journal of Inequalities and Applications
Year Published: 2020

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