Geodesic
Dual Orlicz mixed geominimal surface area
Gao, Li 1 ; Ma, Tongyi 2 ; Guo, Yuanyuan 1
1 College of Mathematics and Statistics, Northwest Normal University, Lanzhou, Gansu, 730070, P. R. China
2 College of Mathematics and Statistics, Hexi University, Zhangye, Gansu, 734000, P. R. China
Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 10, p. 1113-1123.

Voir la notice de l'article provenant de la source International Scientific Research Publications

Based on the classical ideas, Zhu discussed the properties and useful theories for $L_{p}$-mixed geominimal surface area; meanwhile, Ma defined dual Orlicz geominimal surface area. The previous studies provide a thought to us for the study of the dual Orlicz mixed geominimal surface. In our paper, we have done the following work: attempting to use an integral form to define the dual Orlicz mixed geominimal surface area, further studyding its related properties, and listing some inequalities including Alexandrov-Fenchel type inequality, analogous cyclic inequality, Blaschke-Santaló type inequality, and affine isoperimetric inequality in Orlicz space.
DOI : 10.22436/jnsa.011.10.01
Classification : 52A20, 52A40
Keywords: Star bodies, dual Orlicz mixed geominimal surface area, inequality

Gao, Li  1 ; Ma, Tongyi  2 ; Guo, Yuanyuan  1

1 College of Mathematics and Statistics, Northwest Normal University, Lanzhou, Gansu, 730070, P. R. China
2 College of Mathematics and Statistics, Hexi University, Zhangye, Gansu, 734000, P. R. China 
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Gao, Li ; Ma, Tongyi ; Guo, Yuanyuan . Dual Orlicz mixed geominimal surface area. Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 10, p. 1113-1123. doi : 10.22436/jnsa.011.10.01. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.011.10.01/

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