Dual Orlicz mixed geominimal surface area
Volume 11, Issue 10, pp 1113--1123
http://dx.doi.org/10.22436/jnsa.011.10.01
Publication Date: June 27, 2018
Submission Date: September 07, 2016
Revision Date: December 13, 2017
Accteptance Date: April 14, 2018
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Authors
Li Gao
- College of Mathematics and Statistics, Northwest Normal University, Lanzhou, Gansu, 730070, P. R. China.
Tongyi Ma
- College of Mathematics and Statistics, Hexi University, Zhangye, Gansu, 734000, P. R. China.
Yuanyuan Guo
- College of Mathematics and Statistics, Northwest Normal University, Lanzhou, Gansu, 730070, P. R. China.
Abstract
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.
Share and Cite
ISRP Style
Li Gao, Tongyi Ma, Yuanyuan Guo, Dual Orlicz mixed geominimal surface area, Journal of Nonlinear Sciences and Applications, 11 (2018), no. 10, 1113--1123
AMA Style
Gao Li, Ma Tongyi, Guo Yuanyuan, Dual Orlicz mixed geominimal surface area. J. Nonlinear Sci. Appl. (2018); 11(10):1113--1123
Chicago/Turabian Style
Gao, Li, Ma, Tongyi, Guo, Yuanyuan. "Dual Orlicz mixed geominimal surface area." Journal of Nonlinear Sciences and Applications, 11, no. 10 (2018): 1113--1123
Keywords
- Star bodies
- dual Orlicz mixed geominimal surface area
- inequality
MSC
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