Open Access
Issue
Wuhan Univ. J. Nat. Sci.
Volume 27, Number 4, August 2022
Page(s) 281 - 286
DOI https://doi.org/10.1051/wujns/2022274281
Published online 26 September 2022
  1. Blaschke W. Vorlesungen über Integral Geometric I, II [M]. New York: Chelsea, 1949. [Google Scholar]
  2. Hadwiger H. Vorlesungen Über Inhalt, Oberflӓche und Isoperimetrie [M]. Berlin: Springer-Verlag, 1957. [Google Scholar]
  3. Lutwak E. Width-integrals of convex bodies [J]. Proc Amer Math Soc, 1975, 53(2): 435-439. [CrossRef] [MathSciNet] [Google Scholar]
  4. Lutwak E. Mixed width-integrals of convex bodies [J]. Israel J Math, 1977, 28(3): 249-253. [CrossRef] [MathSciNet] [Google Scholar]
  5. Feng Y B. General mixed width-integral of convex bodies [J]. Journal of Nonlinear Sciences and Applications, 2016, 9(6): 4226-4234. [CrossRef] [Google Scholar]
  6. Zhou Y P. General Formula -mixed width-integral of convex bodies and related inequalities [J]. Journal of Nonlinear Sciences and Applications, 2017, 10(8): 4372-4380. [CrossRef] [Google Scholar]
  7. Li X Y, Zhao C J. On the Formula -mixed affine surface area [J]. Math Inequal Appl, 2014, 17: 443-450. [MathSciNet] [Google Scholar]
  8. Lutwak E, Yang D, Zhang G Y. Formula -affine isoperimetric inequalities [J].Journal of Differential Geom, 2000, 56(1): 111-132. [MathSciNet] [Google Scholar]
  9. Wang W D, Ma T Y. Asymmetric Formula -difference bodies [J]. Proc Amer Math Soc, 2014, 142(7): 2517-2527. [CrossRef] [MathSciNet] [Google Scholar]
  10. Wang W D, Feng Y B. A general Formula -version of Petty's affine projection inequality [J]. Taiwan J Math, 2013, 17(2): 517-528. [Google Scholar]
  11. Wang W D, Wan X Y. Shephard type problems for general Formula -projection bodies [J]. Taiwan J Math, 2012, 16(5): 1749-1762. [Google Scholar]
  12. Leng G S, Zhao C J, He B W, et al. Inequalities for polars of mixed projection bodies [J]. Sci China Ser A, 2004, 47(2): 175-186(Ch). [CrossRef] [Google Scholar]
  13. Lutwak E. Dual mixed volumes [J]. Pacific J Math, 1975, 58(2): 531-538. [CrossRef] [MathSciNet] [Google Scholar]
  14. Lutwak E. Inequalities for mixed projection bodies [J]. Trans Amer Math Soc, 1993, 339(2): 901-916. [CrossRef] [MathSciNet] [Google Scholar]
  15. Gardner R J. Geometric Tomography [M]. 2nd Edition. Cambridge: Encyclopedia Math Appl Cambridge University Press, 2006. [CrossRef] [Google Scholar]
  16. Schneider R. Convex Bodies: The Brunn-Minkowski Theory [M]. 2nd Edition. Cambridge: Encyclopedia Math Appl Cambridge University Press, 2014. [Google Scholar]
  17. Lutwak E. The Brunn-Minkowski-Firey theory I: Mixed volumes and the Minkowski problem [J]. Differential Geom, 1993, 38(1): 131-150. [MathSciNet] [Google Scholar]
  18. Beckenbach E F, Bellman R. Inequalities [M]. 2nd Edition. Berlin: Springer-Verlag , 1965. [CrossRef] [Google Scholar]
  19. Losonczi L, Páles Z S. Inequalities for indefinite forms [J]. Journal of Math Anal Appl, 1997, 205(1): 148-156. [CrossRef] [MathSciNet] [Google Scholar]
  20. Lv S J. Dual Brunn-Minkowski inequality for volume differences [J]. Geom Dedicata, 2010, 145(1): 169-180. [CrossRef] [MathSciNet] [Google Scholar]
  21. Hardy G H, Littlewood J E, Pölya G. Inequalities [M]. New York: Cambridge University Press, 1934. [Google Scholar]
  22. Bechenbach E F, Bellman R. Inequalities [M]. Berlin: Springer-Verlag , 1961. [CrossRef] [Google Scholar]

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