Some log-Minkowski inequalities for Lp-mixed geominimal surface area

Authors

  • Juan Zhang Nanjing University of Science and Technology Author
  • Desheng Zhang Dingxi Power Supply Company, State Grid Gansu Electric Power Company Author

DOI:

https://doi.org/10.2298/FIL2609413Z

Keywords:

Lp-mixed geominimal surface area; Lp-mixed geominimal surface area probability measure; log-Minkowski inequality; functional inequality

Abstract

    In this article, we mainly study log-Minkowski inequalities. We first
provide the definition of Lp-mixed geominimal surface area probability measure and get relevant log-Minkowski inequalities for nonsymmetric convex bodies. In addition, we also establish the functional inequalities, which are more general form than the log-Minkowski inequalities of Lp-mixed geominimal surface area.

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Published

2026-04-15

Issue

Vol. 40 No. 09 (2026)

Section

Articles