| Issue |
Wuhan Univ. J. Nat. Sci.
Volume 27, Number 2, April 2022
|
|
|---|---|---|
| Page(s) | 125 - 127 | |
| DOI | https://doi.org/10.1051/wujns/2022272125 | |
| Published online | 20 May 2022 | |
Mathematics
CLC number: O186
Security Steiner’s Inequality on Layering Functions
School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing
400067, China
† To whom correspondence should be addressed. E-mail: yjl@ctbu.edu.cn
Received:
15
December
2021
The classical definition of Steiner symmetrizations of functions are defined according to the Steiner symmetrizations of function level sets and the layered representation of functions. In this paper, the definition is not only transformed into Steiner symmetrizations of one-dimensional parabolic functions, but also depends on the Steiner symmetrizations of the level sets of log-concave functions. To this end we prove Steiner’s inequality on layering functions in the space of log-concave functions.
Key words: convex body / Steiner symmetrizations / log-concave function
Biography: WEI Xinnan, female, Master candidate, research direction: convex geometric analysis. E-mail: 2020610034@email.ctbu.edu.cn
Foundation item: Supported by the National Natural Science Foundation of China (11971080) , Science and Technology Research Program of Chongqing Municipal Education Commission (KJQN202000838) , the Basic and Advanced Research Project of Chongqing (cstc2018jcyjAX0790, cstc2020jcyj-msxmX0328) and the Innovative Project of Chongqing Technology and Business University (yjscxx2021-112-56)
© Wuhan University 2022
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