Volumes of \(s\)-Orlicz convex simplices and geometric inequalities in higher dimensional spaces

DOI10.1016/j.jmaa.2023.127650zbMath1527.52006MaRDI QIDQ6058832

Ying Lu, Jian-Zhong Xiao

Publication date: 1 November 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

volumegeometric inequality\(p\)-normed space\(s\)-Orlicz convex setconvex-concave degree

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Inequalities and extremum problems in real or complex geometry (51M16)

Cites Work

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• Some fixed point theorems for \(s\)-convex subsets in \(p\)-normed spaces
• Some inequalities for functions having Orlicz-convexity
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• Some basic inequalities in higher dimensional non-Euclid space
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• Some inequalities involving two simplexes
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• Some inequalities on the inradii of a simplex and of its faces
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• The maximum entropy principle and volumetric properties of Orlicz balls
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• Cones generated by random points on half-spheres and convex hulls of Poisson point processes
• Volume of unit ball in an n-dimensional normed space and its asymptotic properties
• Inequalities for the medians and vertex distances of two n-simplices with applications
• Surveys in Geometry I
• Inequalities for a simplex and an interior point

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