An Optimal Estimate for the Anisotropic Logarithmic Potential

Shaoxiong Hou
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Shaoxiong Hou: Key Laboratory of Computational Mathematics and Applications of Hebei Province, College of Mathematical Science, Hebei Normal University, Shijiazhuang 050024, China

Mathematics, 2022, vol. 10, issue 2, 1-13

Abstract: This paper introduces the new annulus body to establish the optimal lower bound for the anisotropic logarithmic potential as the complement to the theory of its upper bound estimate which has already been investigated. The connections with convex geometry analysis and some metric properties are also established. For the application, a polynomial dual log-mixed volume difference law is deduced from the optimal estimate.

Keywords: anisotropic log-potential; optimal polynomial inequality; annulus body; dual log-mixed volume (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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