Open Access
Issue
Wuhan Univ. J. Nat. Sci.
Volume 30, Number 6, December 2025
Page(s) 535 - 539
DOI https://doi.org/10.1051/wujns/2025306535
Published online 09 January 2026
  1. Minkowski H. Volumen und oberfläche[J]. Mathematische Annalen, 1903, 57(4): 447-495. [Google Scholar]
  2. Minkowski H. Allgemeine Lehrsätze über die konvexen Polyeder[C]//Ausgewählte Arbeiten zur Zahlentheorie und zur Geometrie. Wiesbaden: Vieweg+Teubner Verlag, 1989: 121-139. [Google Scholar]
  3. Alexandrov A D. Existence and uniqueness of a convex surface with a given integral curvature[J]. C R Dokl Acad Sci USSR, 1942, 35: 131-134. [Google Scholar]
  4. Fenchel W, Jessen B. Mengenfunktionen und konvexe Körper [M]. København: Levin Munksgaard, 1938. [Google Scholar]
  5. Lutwak E. The Brunn-Minkowski-Firey theory I: Mixed volumes and the Minkowski problem[J]. Journal of Differential Geometry, 1993, 38(1): 131-150. [Google Scholar]
  6. Böröczky K J, Lutwak E, Yang D, et al. The Log-Minkowski problem[J]. J Am Math Soc, 2013, 26(3): 831-852. [Google Scholar]
  7. Chou K S, Wang X J. The Formula -Minkowski problem and the Minkowski problem in centroaffine geometry[J]. Advances in Mathematics, 2006, 205(1): 33-83. [Google Scholar]
  8. Lutwak E. Dual mixed volumes[J]. Pacific Journal of Mathematics, 1975, 58(2): 531-538. [Google Scholar]
  9. Lutwak E, Yang D, Zhang G Y. On the Formula -Minkowski problem[J]. Transactions of the American Mathematical Society, 2004, 356(11): 4359-4370. [Google Scholar]
  10. Huang Q Z, He B W. On the Orlicz Minkowski problem for polytopes[J]. Discrete & Computational Geometry, 2012, 48(2): 281-297. [Google Scholar]
  11. Haberl C, Lutwak E, Yang D, et al. The even Orlicz Minkowski problem[J]. Advances in Mathematics, 2010, 224(6): 2485-2510. [Google Scholar]
  12. Li A J. The generalization of Minkowski problems for polytopes[J]. Geometriae Dedicata, 2014, 168(1): 245-264. [Google Scholar]
  13. Wu Y, Xi D, Leng G. On the discrete Orlicz Minkowski problem[J]. Trans Am Math Soc, 2019, 371(3): 1795-1814. [Google Scholar]
  14. Wang W, Liu L J. Orlicz-Brunn-Minkowski inequalities for complex projection bodies[J]. Wuhan University Journal of Natural Sciences, 2021, 26(1): 8-14. [Google Scholar]
  15. Lai D D, Jin H L. p-Minkowski type measures of asymmetry for convex bodies[J]. Wuhan University Journal of Natural Sciences, 2021, 26(4): 315-323. [Google Scholar]
  16. Huang Y, Xi D M, Zhao Y M. The Minkowski problem in Gaussian probability space[J]. Advances in Mathematics, 2021, 385: 107769. [Google Scholar]
  17. Feng Y, Hu S, Xu L. On the Formula -Gaussian-Minkowski problem[J]. J Differ Equ, 2023, 363: 350-390. [Google Scholar]
  18. Lin Y, Xing S. On the Formula -Gaussian measure in Formula [J]. Adv Appl Math, 2024, 160: 102744. [Google Scholar]
  19. Lutwak E, Lü S J, Yang D, et al. Extensions of Fisher information and Stam's inequality[J]. IEEE Transactions on Information Theory, 2012, 58(3): 1319-1327. [Google Scholar]
  20. Lutwak E, Yang D, Zhang G Y. Cramér-Rao and moment-entropy inequalities for Renyi entropy and generalized Fisher information[J]. IEEE Transactions on Information Theory, 2005, 51(2): 473-478. [Google Scholar]
  21. Liu J Q, Tang S Y. The generalized Gaussian Minkowski problem[J]. The Journal of Geometric Analysis, 2024, 34(10): 302. [Google Scholar]
  22. Gardner R J. Geometric Tomography, Volume 58 of Encyclopedia of Mathematics and Its Applications[M]. New York: Cambridge University Press, 2006. [Google Scholar]
  23. Gruber P M. Convex and Discrete Geometry, Volume 336 of Grundlehren der Mathematischen Wissenschaften[M]. Berlin: Springer-Verlag, 2007. [Google Scholar]
  24. Schneider R. Convex Bodies: The Brunn-Minkowski Theory[M]. 2nd Ed. Cambridge: Cambridge University Press, 2014. [Google Scholar]
  25. Huang Y, Lutwak E, Yang D, et al. Geometric measures in the dual Brunn-Minkowski theory and their associated Minkowski problems[J]. Acta Mathematica, 2016, 216(2): 325-388. [Google Scholar]
  26. de L'Hôpital G F A. Analyse des Infiniment Petits pour l'Intelligence des Lignes Courbes[M]. Paris: Imprimerie Royale, 1696. [Google Scholar]

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