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Orlicz mixed width measures

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In this paper, we establish the Orlicz logarithmic Minkowski inequality for the width integrals by introducing the new {\it Orlicz mixed width measures} and using the newly established Orlicz mixed width inequality. The Orlicz width logarithmic Minkowski inequality in special case yields the width logarithmic Minkowski inequality and the $L_{p}$-width logarithmic Minkowski inequality, respectively.
University of Debrecen/ Debreceni Egyetem
Title: Orlicz mixed width measures
Description:
In this paper, we establish the Orlicz logarithmic Minkowski inequality for the width integrals by introducing the new {\it Orlicz mixed width measures} and using the newly established Orlicz mixed width inequality.
The Orlicz width logarithmic Minkowski inequality in special case yields the width logarithmic Minkowski inequality and the $L_{p}$-width logarithmic Minkowski inequality, respectively.

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